Properties of the Number 30738

Thirty Thousand Seven Hundred Thirty-Eight

Basics

Value: 30737 → 30738 → 30739

Parity: even

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 47 × 109

Divisors: 1, 2, 3, 6, 47, 94, 109, 141, 218, 282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100000010010

Octal: 74022

Duodecimal: 15956

Hexadecimal: 7812

Square: 944824644

Square Root: 175.32255987179744

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

Poincaré series for invariant polynomial functions on the space of binary forms of degree 10. A293935

Expansion of 1/((1+x)(1-x)⁸). A1779

Number of unimodal functions [1..n]->[1..n]. A88536

Number A(n,k) of unimodal functions f:[n]->[k·n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A226031

Number of different shapes formed by bending a piece of wire of length n in the plane. A66372

Number of n X 7 0..1 arrays with rows unimodal and columns nondecreasing. A225009

Number of 6Xn 0..1 arrays with rows unimodal and columns nondecreasing. A225013

a(1) = 1, for n >= 2, a(n) = ∑_{i=1..floor(log₂(n))} a(n-i). A306622

Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5). A39848

Square array giving number of unimodal functions [n]->[m] for n>=0, m>=0, with a(0,m)=0 for all m>=0, read by antidiagonals. A71920