Properties of the Number 39557

Thirty-Nine Thousand Five Hundred Fifty-Seven

Basics

Value: 39556 → 39557 → 39558

Parity: odd

Prime: No

Previous Prime: 39551

Next Prime: 39563

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 5651

Divisors: 1, 7, 5651, 39557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101010000101

Octal: 115205

Duodecimal: 1AA85

Hexadecimal: 9a85

Square: 1564756249

Square Root: 198.8894165107837

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 read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A83029

a(n) is number of solutions of the equation σ(x)=10ⁿ. A110078

Number of steps needed when starting from (3ⁿ⁺¹)-1 and repeatedly applying the map that replaces k with k - (sum of digits in base-3 representation of k) to encounter the first number whose base-3 representation begins with a digit other than 2. A261237

Numbers n such that n² + 1 is divisible by a 5th power. A218564

a(n) = ∑_k=1..n σ(n·k). A372710

Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A298497

Numbers whose base-12 representation has the same nonzero number of 9's and 11's. A39557