Numberwise

3435

3,435 equals the sum of its digits each raised to itself.

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Where 3435 fits

Where 3435 fits: MathematicsMathematics: Harshad (Niven) number.MathematicsHarshad (Niven) number3435
3435 connects to 1 world: mathematics.

Why 3435 is special

3³ + 4⁴ + 3³ + 5⁵ = 3,435. Only 1 and 3,435 do this in base ten, and the list is complete — a two-member sequence that is fully proven rather than merely unextended.

Factors & digit properties

Divisors (8)
1, 3, 5, 15, 229, 687, 1145, 3435
Prime factorisation
3 × 5 × 229
Digit sum
15
Digital root
6

Representations

Decimal
3435
Scientific notation
3.435 × 10^3

Roman numerals

M M M C D X X X V

MMMCDXXXV uses the subtractive pair CD: a hundred before five hundred — five hundred minus a hundred.

Binary

1 1 0 1 0 1 1 0 1 0 1 1

1 × 2,048 + 1 × 1,024 + 0 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 3,435

Octal

6 5 5 3

6 × 512 + 5 × 64 + 5 × 8 + 3 × 1 = 3,435

Hexadecimal

d 6 b

d × 256 + 6 × 16 + b × 1 = 3,435

Read as powers of two: 2,048 + 1,024 + 256 + 64 + 32 + 8 + 2 + 1 = 3,435.

In historical numeral systems

Egyptian

3 lotuses, 4 coils of rope, 3 hobbles, 5 strokes

3 × 1,000 + 4 × 100 + 3 × 10 + 5 × 1 = 3,435. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

5 corner wedges + 7 vertical wedges (sixties place), 1 corner wedge + 5 vertical wedges (units place)

57 × 60 + 15 = 3435. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Deficient number
  • Harshad (Niven) number

Mathematics

  • Raising each digit to its own power and summing gives back the number for only 1 and 3,435 in base ten. The set is proven complete, which makes it one of the shortest closed sequences in recreational number theory.

    DocumentedMathematics

Common questions

Is 3435 a prime number?

No, 3435 is not prime.

What are the factors of 3435?

The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435.

What is 3435 in Roman numerals?

3435 in Roman numerals is MMMCDXXXV. CD is subtractive: a hundred before five hundred — five hundred minus a hundred. Written additively it would be MMMCCCCXXXV, which Roman inscriptions used freely — the strict subtractive form is a later convention.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 15 July 2026