Properties of the Number 39656

Thirty-Nine Thousand Six Hundred Fifty-Six

Basics

Value: 39655 → 39656 → 39657

Parity: even

Prime: No

Previous Prime: 39631

Next Prime: 39659

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 4957

Divisors: 1, 2, 4, 8, 4957, 9914, 19828, 39656

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101011101000

Octal: 115350

Duodecimal: 1AB48

Hexadecimal: 9ae8

Square: 1572598336

Square Root: 199.13814300630605

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

Number A(n,k) of n-tuples (p₁, p₂, ..., p_n) of positive integers such that p_i-1 <= p_i <= k^i-1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A355576

To compute a(n) we first write down 6ⁿ 1's in a row. Each row takes the rightmost 6th part of the previous row and each element in it equals sum of the elements of the previous row starting with the first of the rightmost 6th part. The single element in the last row is a(n). A109058

a(n) is the numerator of ∑_d∣n σ(n/d)^d/d, where σ is A000203. A267310

Number of quadruples (p₁, ..., p₄) of positive integers such that p_i-1 <= p_i <= n^i-1. A354608

E.g.f. A(x) satisfies A(x) = 1 + ∑_k>=1 x^k/k! * A(k^k*x). A385549

Even numbers that are not the sum or difference of two binary palindromes (A006995). A290424

Becomes prime after n iterations of f(x) = σ(x)-1 (least inverse of A039655). A39656