Properties of the Number 5152

Five Thousand One Hundred Fifty-Two

Basics

Value: 5151 → 5152 → 5153

Parity: even

Prime: No

Previous Prime: 5147

Next Prime: 5153

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 7 × 23

Divisors: 1, 2, 4, 7, 8, 14, 16, 23, 28, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010000100000

Octal: 12040

Duodecimal: 2B94

Hexadecimal: 1420

Square: 26543104

Square Root: 71.77743377970545

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 integer partitions of n with unimodal run-lengths. A332280

Number of strict integer partitions of n containing some three possibly equal parts (a,b,c) such that a + b = c. A variation of sum-full strict partitions. A363226

Triangle read by rows: T(n,k) is the number of permutations of n elements that have the longest cycle length k. A126074

Numbers m having the same sum of divisors as m+20 has. A181647

Numbers whose product of prime indices is twice their sum of prime indices. A326151

BII-numbers of blobs. A326751

Triangle read by rows: T(n, m) = S1(n, m)*4^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51142

Products of the 5th power of a prime and 2 distinct primes (p⁵*q·r). A179667

Coefficients of the '6th-order' mock θ function ρ(q). A53270

Numbers k such that φ(x) = k has exactly 12 solutions. A60675