Properties of the Number 1255

One Thousand Two Hundred Fifty-Five

Basics

Value: 1254 → 1255 → 1256

Parity: odd

Prime: No

Previous Prime: 1249

Next Prime: 1259

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 251

Divisors: 1, 5, 251, 1255

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111

Octal: 2347

Duodecimal: 887

Hexadecimal: 4e7

Square: 1575025

Square Root: 35.4259791678367

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) is the number of partitions of n (the partition numbers). A41

Number of partitions of n into even parts. A35363

Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29470

Y-toothpick sequence (see Comments lines for definition). A160120

Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}. A18805

Number of ways to partition 2n+1 into positive integers. A58695

Triangle, read by rows of n²+1 terms, of coefficients of q in the q-analog of the even double factorials: T(n,k) = [q^k] ∏_j=1..n (1-q^2j)/(1-q) for n>0, with T(0,0)=1. A128084

Number of integer partitions of n having a unique mode. A362608

p-INVERT of (0,1,0,1,0,1,...), where p(S) = 1 - S - S³. A291219

Number of partitions of floor(3n/2) into n parts each from {1,2,...,n}. A119620