Properties of the Number 4755

Four Thousand Seven Hundred Fifty-Five

Basics

Value: 4754 → 4755 → 4756

Parity: odd

Prime: No

Previous Prime: 4751

Next Prime: 4759

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 317

Divisors: 1, 3, 5, 15, 317, 951, 1585, 4755

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010010011

Octal: 11223

Duodecimal: 2903

Hexadecimal: 1293

Square: 22610025

Square Root: 68.95650803223725

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: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1. A211849

Numbers k such that the digits of k³ occur with the same frequency. A52047

Numbers k such that k³ is a cube whose digits occur with an equal minimum frequency of 2. A52051

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage. A64412

Numbers k such that 1 + 3·10^k + 100^k is prime. A171376

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..2, with k running over the positive integers; square array, read by antidiagonals, downwards. A319060

a(n) = floor(2ⁿ/(n²)). A60505