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Properties of the Number 4536

Four Thousand Five Hundred Thirty-Six

Basics

Value: 4535 → 4536 → 4537

Parity: even

Prime: No

Previous Prime: 4523

Next Prime: 4547

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 3 × 3 4 × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000110111000

Octal: 10670

Duodecimal: 2760

Hexadecimal: 11b8

Square: 20575296

Square Root: 67.34983296193094

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

Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n. A8275
Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n. A48994
Triangle of unsigned Stirling numbers of the first kind (see A048994), read by rows, T(n,k) for 0 <= k <= n. A132393
Triangle T(n,k), 0 <= k <= n, read by rows, giving coefficients of the polynomial (x+1)(x+2)...(x+n), expanded in increasing powers of x. T(n,k) is also the unsigned Stirling number |s(n+1, k+1)|, denoting the number of permutations on n+1 elements that contain exactly k+1 cycles. A130534
Triangle read by rows: T(n,k) = |s(n,n+1-k)|, where s(n,k) are the signed Stirling numbers of the first kind A008276 (1 <= k <= n; in other words, the unsigned Stirling numbers of the first kind in reverse order). A94638
Numbers that are divisible by exactly 8 primes counting multiplicity. A46310
Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x. A8276
12 times triangular numbers. A49598
Number of incomplete integer partitions of n, meaning not every number from 0 to n is the sum of some submultiset. A365924
Numbers k such that k2 is expressible as the sum of two positive cubes in at least one way. A50801