Properties of the Number 78126

Seventy-Eight Thousand One Hundred Twenty-Six

Basics

Value: 78125 → 78126 → 78127

Parity: even

Prime: No

Previous Prime: 78121

Next Prime: 78137

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 29 × 449

Divisors: 1, 2, 3, 6, 29, 58, 87, 174, 449, 898

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100101110

Octal: 230456

Duodecimal: 39266

Hexadecimal: 1312e

Square: 6103671876

Square Root: 279.5102860361314

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

a(n) = 5ⁿ + 1. A34474

Numbers that are the sum of 2 positive 7th powers. A3369

a(n) = sigma₇(n), the sum of the 7th powers of the divisors of n. A13955

Numbers k such that k² is palindromic in base 5. A29988

Square array A(n,k), n>=1, k>=0, read by antidiagonals, where column k is the expansion of ∑_j>=1 (2·j - 1)^k*x^2·j-1/(1 - x^2·j-1). A285425

a(n) = ∑_{d∣n, n/d==1 mod 4} d⁷ - ∑_{d∣n, n/d==3 mod 4} d⁷. A321831

a(n) = smallest number that leads to a new cycle under the base-5 Kaprekar map of A165032. A165048

Triangle read by rows, T(n,m) = sigma_n-m(m) for n >= 1, m = 1,2, ..., n. A279394

Sum of the 7th powers of the squarefree divisors of n. A351270

a(n) = n⁷ * ∏_{p∣n, p prime} (1 + 1/p⁷). A351302