Properties of the Number 7505

Seven Thousand Five Hundred Five

Basics

Value: 7504 → 7505 → 7506

Parity: odd

Prime: No

Previous Prime: 7499

Next Prime: 7507

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 19 × 79

Divisors: 1, 5, 19, 79, 95, 395, 1501, 7505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101010001

Octal: 16521

Duodecimal: 4415

Hexadecimal: 1d51

Square: 56325025

Square Root: 86.63140308225418

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

Total number of parts in all partitions of n plus the sum of largest parts in all partitions of n plus the number of partitions of n plus n. A225610

Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2·j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 8, read by rows. A153653

a(n) = (τ(nⁿ)+n-1)/n. A16012

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors. A231515

Number of widely recursively normal integer partitions of n. A332295

a(n) = n*(n+1)*(n²+5·n+18)/24. A51744

The number of seconds after midnight (3600·H + 60·MM + SS) corresponding to prime time numbers A295014, i.e., numbers of the form HMMSS with primes H < 24 and MM, SS < 60. A295004

Number of integer partitions of n for which the parts have the same median as the multiplicities. A360456

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 606", based on the 5-celled von Neumann neighborhood. A283258

5 times centered pentagonal numbers: 5*(5·n² + 5·n + 2)/2. A164015