Properties of the Number 4514

Four Thousand Five Hundred Fourteen

Basics

Value: 4513 → 4514 → 4515

Parity: even

Prime: No

Previous Prime: 4513

Next Prime: 4517

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 37 × 61

Divisors: 1, 2, 37, 61, 74, 122, 2257, 4514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100010

Octal: 10642

Duodecimal: 2742

Hexadecimal: 11a2

Square: 20376196

Square Root: 67.1863081289633

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

Number of binary partitions: number of partitions of 2n into powers of 2. A123

Number of partitions of n such that 2*(least part) <= greatest part. A237821

Number of monic polynomials with integer coefficients of degree n with all roots on the unit circle; number of products of cyclotomic polynomials of degree n. A120963

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235087

Consecutive states of the linear congruential pseudo-random number generator (211·s + 1663) mod 7875 when started at s=1. A385002

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

T(n,e) is the number of unlabeled posets of n>=0 points with e>=0 arcs in the Hasse diagram, irregular triangle read by rows. A342447

Number of strict compositions of n that are neither unimodal nor is their negation. A332874

a(n) = lcm(A051612(n), A065387(n)), where A051612(n) = σ(n) - φ(n) and A065387(n) = σ(n) + φ(n). A77100

Sum of all parts minus the total number of parts of the last section of the set of partitions of n. A207035