Properties of the Number 4652

Four Thousand Six Hundred Fifty-Two

Basics

Value: 4651 → 4652 → 4653

Parity: even

Prime: No

Previous Prime: 4651

Next Prime: 4657

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 1163

Divisors: 1, 2, 4, 1163, 2326, 4652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101100

Octal: 11054

Duodecimal: 2838

Hexadecimal: 122c

Square: 21641104

Square Root: 68.20557161991974

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 partitions of n such that no part is a sum of two other parts. A236912

Number of perfect-power divisors of n!. A336416

Numbers k for which A003415(k) >= A276086(k), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351228

a(n) = 6ⁿ-5ⁿ+1ⁿ. A155639

Number of partitions of at most n into at most 5 parts. A2622

Number of nX1 0..1 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope. A222955

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235239

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that a color pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327117

a(n) = ∑_k=0..n binomial(n,k)*binomial(2·n,2·k). A288470

Expansion of 1/(1-2·x*c(3·x)), c(x) the g.f. of A000108. A110520