Properties of the Number 37948

Thirty-Seven Thousand Nine Hundred Forty-Eight

Basics

Value: 37947 → 37948 → 37949

Parity: even

Prime: No

Previous Prime: 37907

Next Prime: 37951

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 53 × 179

Divisors: 1, 2, 4, 53, 106, 179, 212, 358, 716, 9487

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010000111100

Octal: 112074

Duodecimal: 19B64

Hexadecimal: 943c

Square: 1440050704

Square Root: 194.80246405012437

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 paths of length n+2 originating at a corner of a 4 X 4 Boggle board. A63000

Numbers k such that A353802(k) / σ(σ(k)) is an integer > 1, where A353802(n) = ∏_p^e||n σ(σ(p^e)). A353807

Denominators of continued fraction convergents to sqrt(383). A41727

Expansion of 1/(x^k*(1-x-3·x^k+1)) for k=7. A143458

G.f.: ∏_m>0 (1 + x^m + 2·x^2·m + 3·x^3·m). A290269

Number of ways to partition digits 0-9 into signed terms in decreasing absolute value order with sum n. A389952

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260367

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260369

Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1. A35984

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260370