Properties of the Number 30659

Thirty Thousand Six Hundred Fifty-Nine

Basics

Value: 30658 → 30659 → 30660

Parity: odd

Prime: No

Previous Prime: 30649

Next Prime: 30661

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 23 × 31 × 43

Divisors: 1, 23, 31, 43, 713, 989, 1333, 30659

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011111000011

Octal: 73703

Duodecimal: 158AB

Hexadecimal: 77c3

Square: 939974281

Square Root: 175.09711591000007

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

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + (2·j +7)*prime(j)*T(n-2, k-1) with j=10, read by rows. A153657

Number of Motzkin meanders of length n with an odd number of humps and an even number of peaks. A325923

Number of k-element subsets S of {1,...,n} such that mean(S)<median(S). A212149

a(n) is the smallest number such that there are exactly n numbers k (including a(n) itself) such that U(k) is isomorphic to U(a(n)) (or 0 if no such number exists). Here U(k) is the multiplicative group of integers modulo k. A303712

Non-semiprime composite numbers e such that there is no 0<a<b<c<d<e for which a! * b! * c! * d! * e! is a perfect square. A392333

Number of zero-sum -n..n arrays of 4 elements with first through third differences also in -n..n. A202512

Numbers n such that 54·10ⁿ + 1 is prime. A4203

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1000-1111 pattern in any orientation. A146689

Smallest possible maximum denominator in an expression for 1 as a sum of n distinct unit (Egyptian) fractions. A30659