Properties of the Number 78975

Seventy-Eight Thousand Nine Hundred Seventy-Five

Basics

Value: 78974 → 78975 → 78976

Parity: odd

Prime: No

Previous Prime: 78941

Next Prime: 78977

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 5 ² × 13

Divisors: 1, 3, 5, 9, 13, 15, 25, 27, 39, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010001111111

Octal: 232177

Duodecimal: 39853

Hexadecimal: 1347f

Square: 6237050625

Square Root: 281.0249099279279

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

Numbers k whose abundance is 26: σ(k) - 2·k = 26. A275701

Larger central (or median) divisor of n!. A60777

a(n) = n*(n+1)*(n+2)²/6. A4320

Odd numbers n such that abs(σ(n)-2n) <= n^1/3. Abundance-radius = abs(σ(n)-2n) does not exceed cubic root of n and n is odd. A88010

Dimensions of the irreducible representations of the simple Lie algebra of type E6 over the complex numbers, listed in increasing order. A121737

Lesser of two consecutive numbers each divisible by a fifth power. A68783

Odd admirable numbers: such that σ(n) = 2n + 2d for some d | n. A109729

Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors. A188439

Primitive nondeficient numbers sorted by largest prime factor then by increasing size. Irregular triangle T(n, k), n >= 2, k >= 1, read by rows, row n listing those with largest prime factor = prime(n). A338133

a(n) = (9/2)*(n-1)*(n-2)*(n-3). A134171