Properties of the Number 23030

Twenty-Three Thousand Thirty

Basics

Value: 23029 → 23030 → 23031

Parity: even

Prime: No

Previous Prime: 23029

Next Prime: 23039

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 ² × 47

Divisors: 1, 2, 5, 7, 10, 14, 35, 47, 49, 70

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100111110110

Octal: 54766

Duodecimal: 113B2

Hexadecimal: 59f6

Square: 530380900

Square Root: 151.7563837207516

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) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A50031

Largest coefficient in expansion of (1 + x + x² + ... + x^n-1)⁵ = ((1-xⁿ)/(1-x))⁵, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n. A77044

4-Smith numbers. A103125

Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer. A32795

Sequence A014486 shown in base 4. A85185

Triangle T(n, k) read by rows; given by [0, 1, 0, 1, 0, 1, ...] δ [1, 1, 2, 5, 14, 42, 132, 429, 1430, ...] (A000108) where δ is Deléham's operator defined in A084938. A85845

Expansion of (x-5·x²+11·x³-12·x⁴+7·x⁵-2·x⁶+x⁷) / (1-6·x+15·x²-20·x³+15·x⁴-6·x⁵+x⁶). A221948

Numbers k such that 435·2^k+1 is prime. A323146

Number of partitions of n into 10 unordered relatively prime parts. A23030