Properties of the Number 18831

Eighteen Thousand Eight Hundred Thirty-One

Basics

Value: 18830 → 18831 → 18832

Parity: odd

Prime: No

Previous Prime: 18803

Next Prime: 18839

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 6277

Divisors: 1, 3, 6277, 18831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110001111

Octal: 44617

Duodecimal: AA93

Hexadecimal: 498f

Square: 354606561

Square Root: 137.22609081366414

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

Sum of the second largest parts of the partitions of n into 9 squarefree parts. A326531

Number of partitions of n having no perfect cube parts (n>=0). A264393

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = ∑_j=1..n j^k * floor(n/j). A319649

a(n) = ∑_i=1..n φ(i)*φ(i+1), where φ(n) = A000010(n) is Euler's totient function. A330319

Weighted count of partitions with odd parts. A5896

Number of partitions of n containing a prime number of primes and an arbitrary number of nonprimes. A344677

Number of 7-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187512

Isolated deficient numbers that are divisible by 3. A273255

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 5). A35563

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 0, -1), (0, 1, 1), (1, -1, 0)}. A148938