Properties of the Number 38629

Thirty-Eight Thousand Six Hundred Twenty-Nine

Basics

Value: 38628 → 38629 → 38630

Parity: odd

Prime: Yes

Previous Prime: 38611

Next Prime: 38639

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 38629

Divisors: 1, 38629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011011100101

Octal: 113345

Duodecimal: 1A431

Hexadecimal: 96e5

Square: 1492199641

Square Root: 196.5426162439078

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

Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1. A54471

Expansion of ∏_k>=1 1/(1 - (3·k-1)*x^3·k-1). A265820

Primes of the form 666·n + 1. A37029

Numerator of ∑_k=0..2·n (-1)^k/binomial(2·n, k)². A100520

Smallest k<3·2ⁿ such that 3·2ⁿ+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution. A230852

Numbers n such that 2·n + {3, 5, 9, 11} are all primes. A222960

E.g.f.: exp(sum(bell(n)*zⁿ/n, n=1..infinity)). A274539

Primes of the form A177353(n) + 1 sorted with respect to increasing n. A178178

Numbers k such that (40^k + 3^k)/43 is prime. A389283

Convolution of Catalan numbers A000108 with Catalan numbers but C(0)=1 replaced by 3. A38629