Properties of the Number 71874

Seventy-One Thousand Eight Hundred Seventy-Four

Basics

Value: 71873 → 71874 → 71875

Parity: even

Prime: No

Previous Prime: 71867

Next Prime: 71879

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 11 ³

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10001100011000010

Octal: 214302

Duodecimal: 35716

Hexadecimal: 118c2

Square: 5165871876

Square Root: 268.0932673529867

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) = 2·n³. A33431

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^k³. A343283

a(n) = n * ∑_d∣n binomial(d+4,5)/d. A343546

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^k³. A343323

a(n) = floor(1/{(2+n⁴)^1/4}), where {} = fractional part. A184537

Numbers k such that the sum of prime factors of k (counted with multiplicity) equals four times the largest prime divisor of k. A212862

a(n) is the least k that starts a sequence of exactly n numbers on which i + ω(i) is constant, where ω = A001222 (this is BigOmega). A369228

Numbers k such that k and k+1 have the same sum of squarefree divisors, or sqf(k) = sqf(k+1), where sqf(k) = A048250(k). A63964

Numbers k such that core(k) = b(k,1)*b(k,0) where b(k,1) is the number of 1's in binary representation of k, b(k,0) the number of 0's and core(k) the squarefree part of k. A71639

Starts of runs of 3 consecutive integers in which each member of the run has at least one divisor of the form p^e with p <= e, where p is a prime. A376469