Properties of the Number 91072

Ninety-One Thousand Seventy-Two

Basics

Value: 91071 → 91072 → 91073

Parity: even

Prime: No

Previous Prime: 91033

Next Prime: 91079

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 1423

Divisors: 1, 2, 4, 8, 16, 32, 64, 1423, 2846, 5692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110001111000000

Octal: 261700

Duodecimal: 44854

Hexadecimal: 163c0

Square: 8294109184

Square Root: 301.78137782176026

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) = ( 1/1 + 1/3 + 1/5 + ... + 1/(2·n-1) )*LCM(1, 3, 5, ..., 2·n-1). A25550

Numerators of ∑_j=0..n 1/(2·j+1), for n >= 0. A350669

T(j,k) are the numerators u in the representation R = s/t + (2/π)*u/v of the resistance between two nodes separated by the distance vector (j,k) in an infinite square lattice of one-ohm resistors, where T(j,k), j >= 0, 0 <= k <= j, is a triangle read by rows. A355566

Numerator of ∑_{1<=k<=n, gcd(k,n)=1} 1/k. A93600

Numerators of alternating sum transform (PSumSIGN) of Harmonic numbers H(n) = A001008/A002805. A35048

a(n) = numerator of the sum of reciprocals of the terms in n-th row of triangle A077581. A126577

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (1, 1, 0), (1, 1, 1)}. A150714

Number of permutations of 2 copies of 1..n avoiding adjacent step pattern up, down. A177554

Positive numbers k such that the Kronecker Symbol (-1 / k) > 0. A91072