Properties of the Number 69125

Sixty-Nine Thousand One Hundred Twenty-Five

Basics

Value: 69124 → 69125 → 69126

Parity: odd

Prime: No

Previous Prime: 69119

Next Prime: 69127

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ³ × 7 × 79

Divisors: 1, 5, 7, 25, 35, 79, 125, 175, 395, 553

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000111000000101

Octal: 207005

Duodecimal: 34005

Hexadecimal: 10e05

Square: 4778265625

Square Root: 262.91633650269813

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 the n-th n-gonal pyramidal number into n-gonal pyramidal numbers. A337797

a(n) = n + floor(∑_k<n a(k)/2) with a(0)=0. A79719

E.g.f. satisfies: A'(x) = ∏_n>=1 1/(1 - A(x)ⁿ), where A(0) = 0. A233860

Trajectory of 1 under map n->9n+1 if n odd, n->n/2 if n even. A33962

Trajectory of 3 under map n->9n+1 if n odd, n->n/2 if n even. A37102

a(n) = (11·n² - 11·n + 2)/2. A69125

a(n) = ∑_{k = 0..n-1} (-1)^n+k+1*binomial(n,k)*binomial(n+k-1,k)². A361714