Properties of the Number 75905

Seventy-Five Thousand Nine Hundred Five

Basics

Value: 75904 → 75905 → 75906

Parity: odd

Prime: No

Previous Prime: 75883

Next Prime: 75913

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 17 × 19 × 47

Divisors: 1, 5, 17, 19, 47, 85, 95, 235, 323, 799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10010100010000001

Octal: 224201

Duodecimal: 37B15

Hexadecimal: 12881

Square: 5761569025

Square Root: 275.5086205547841

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

Shifts one place left under 2nd-order binomial transform. A4211

Triangle read by rows. T(n, k) = kⁿ * BellPolynomial(n, 1/k) for k > 0, if k = 0 then T(n, k) = kⁿ. A350260

Exponential Riordan array [exp(sinh(x)*exp(x)), sinh(x)*exp(x)]. A154602

Square array read by antidiagonals upwards: T(n,k) = ∑_j=1..k n^k-j*Stirling₂(k,j) (n >= 0, k >= 1). A241578

Square array read by antidiagonals downwards: T(n,k) = ∑_j=1..k n^k-j*Stirling₂(k,j) (n >= 0, k >= 1). A241579

Number of set partitions C_t(n) of {1,2,...,t} into at most n parts, with an even number of elements in each part distinguished by marks; triangle C_t(n), t>=0, 0<=n<=t, read by rows. A261275

Numbers k for which A003973(k) is equal to 2*σ(k). A337384

G.f. A(x) satisfies: A(x) = x + x² * exp( ∑_k>=1 A(x^k)² / (k·x^k) ). A363387

Maximal number of 15432 patterns in a permutation of 1,2,...,n. A100355

Triangle, generated from A111579. A111673