Properties of the Number 85176

Eighty-Five Thousand One Hundred Seventy-Six

Basics

Value: 85175 → 85176 → 85177

Parity: even

Prime: No

Previous Prime: 85159

Next Prime: 85193

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 × 13 ²

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110010111000

Octal: 246270

Duodecimal: 41360

Hexadecimal: 14cb8

Square: 7254950976

Square Root: 291.84927616836745

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

4-dimensional figurate numbers: a(n) = n·binomial(n+2, 3). A2417

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

a(n) = lcm(τ(n), σ(n), pod(n)) where τ(k) is the number of divisors of k (A000005), σ(k) is the sum of divisors of k (A000203) and pod(k) is the product of divisors of k (A007955). A336723

Lower triangular array, called S1hat(6), related to partition number array A145356. A145357

a(n) = lcm(σ(n), pod(n)) where σ(k) = the sum of divisors of k (A000203) and pod(n) = the product of divisors of k (A007955). A324529

θ series of E₆ lattice. A4007

Bisection of A002417. A100431

Third column (m=3) of triangle A145357 (S1hat(6)). A145360

Product of product of divisors of n and sum of divisors of n. A76722

Smallest k such that p^p -+ k is prime, where p=prime(n). A157719