Properties of the Number 38962

Thirty-Eight Thousand Nine Hundred Sixty-Two

Basics

Value: 38961 → 38962 → 38963

Parity: even

Prime: No

Previous Prime: 38959

Next Prime: 38971

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 11 ² × 23

Divisors: 1, 2, 7, 11, 14, 22, 23, 46, 77, 121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100000110010

Octal: 114062

Duodecimal: 1A66A

Hexadecimal: 9832

Square: 1518037444

Square Root: 197.38794289418996

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

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

Expansion of g.f. x*(1 + x)*(1 + 6·x + x²)/(1 - x)⁷. A6858

a(n) = n²*(n² - 1)/6. A8911

The full list of 6-Kaprekar numbers. A53397

Kaprekar numbers, allowing powers of 10: n such that n=q+r and n²=q·10^m+r, for some m >= 1, q>=0 and 0<=r<10^m. A248353

Numbers k such that σ(k) = ψ(k) + τ(k)². A390296

Expansion of ∏_k>=1 (1 - x^k)¹⁴. A10821

(Prime(prime(n))²-1)/24. A92772

Triangular Kaprekar-like numbers: numbers k such that the base-10 representation of T(k) = k*(k+1)/2 is the concatenation of two numbers·and y such that x + y = k. A110939

Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-3. A180293