Properties of the Number 30723

Thirty Thousand Seven Hundred Twenty-Three

Basics

Value: 30722 → 30723 → 30724

Parity: odd

Prime: No

Previous Prime: 30713

Next Prime: 30727

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 11 × 19

Divisors: 1, 3, 7, 11, 19, 21, 33, 49, 57, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000000011

Octal: 74003

Duodecimal: 15943

Hexadecimal: 7803

Square: 943902729

Square Root: 175.2797763576848

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) = ceiling((∑_k=1..n-1 a(k)) / 2) for n >= 2 starting with a(1) = 1. A73941

a(n) = ceiling((1 + sum of preceding terms) / 2) starting with a(0) = 1. A5428

T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent. A224625

Subsequence of A005428 with state = 1. A81614

Imbalance of the sum of parts of all partitions of n. A194797

Numerator coefficients for generators of lattice path enumeration square array A111910. A140136

Number of (n+4) X 8 0..2 matrices with each 5 X 5 subblock idempotent. A224621

Number of (n+4) X 9 0..2 matrices with each 5 X 5 subblock idempotent. A224622

Numbers k such that A030717(k) = 1. A30723

Odd values of k such that φ(k)! divides φ(k!) where φ(k) = A000010(k). A67562