Properties of the Number 13963

Thirteen Thousand Nine Hundred Sixty-Three

Basics

Value: 13962 → 13963 → 13964

Parity: odd

Prime: Yes

Previous Prime: 13933

Next Prime: 13967

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13963

Divisors: 1, 13963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010001011

Octal: 33213

Duodecimal: 80B7

Hexadecimal: 368b

Square: 194965369

Square Root: 118.16513868311584

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

Indices of prime Lucas numbers. A1606

Irregular array read by rows in which row n lists the smallest elements, in ascending order, of conjecturally all primitive cycles of positive integers under iteration by the Collatz-like 3x-k function, where k = A226630(n). A226623

G.f. satisfies: A(x) = 1/(1 + x·A(x³)) and also the continued fraction: 1+x·A(x⁴) = [1;1/x,1/x³,1/x⁹,1/x²⁷,...,1/x^{3^(n-1}),...]. A101913

Expansion of 1/((1-x)³*(1-x²)²*(1-x³)). A2625

Denominators of continued fraction convergents to sqrt(999). A42935

Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes. A156116

Smallest prime p such that the multiplicative order of 16 modulo p is 2·n, or 0 if no such prime exists. A372800

Consecutive states of the linear congruential pseudo-random number generator 170·s mod 30323 when started at s=1. A385033

Numbers k such that floor(φ^k) is prime, where φ is the golden ratio. A59791

Primes p of the form 8·k + 3 such that every prime divisor of p-2 has the form 8·t + 7. A306931