Properties of the Number 38976

Thirty-Eight Thousand Nine Hundred Seventy-Six

Basics

Value: 38975 → 38976 → 38977

Parity: even

Prime: No

Previous Prime: 38971

Next Prime: 38977

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 7 × 29

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001100001000000

Octal: 114100

Duodecimal: 1A680

Hexadecimal: 9840

Square: 1519128576

Square Root: 197.42340286804907

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

Number of permutations of [n] avoiding the consecutive pattern 45321. A202213

Rectangular table, read by antidiagonals, where the g.f. of row n, R(x,n), satisfies: R(x,n) = 1 + (n+1)*x·R(x,n+1)² for n>=0. A128570

Row 5 of table A128570. A128575

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 45321; triangle T(n,k), n >= 0, 0 <= k <= max(0, floor((n-1)/4)), read by rows. A264781

Numbers with prime factorization pqrs⁶. A190292

Number T(m,n) of permutations of [n] avoiding the consecutive pattern 12...(m+1)(m+3)(m+2), where m, n >= 0; array read by ascending antidiagonals. A327722

The hyper-Wiener index of the linear phenylene with n hexagons. A224455

Numbers k such that k | sigma₃(k) - φ(k)³. A55697

Number of ways to place 2 queens on an n X n chessboard so that they attack each other. A144945

a(0)=a(1)=1. a(n) = the multiple of n which is >= a(n-1)+a(n-2) and is < a(n-1)+a(n-2)+n. A128035