Properties of the Number 61643

Sixty-One Thousand Six Hundred Forty-Three

Basics

Value: 61642 → 61643 → 61644

Parity: odd

Prime: Yes

Previous Prime: 61637

Next Prime: 61651

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 61643

Divisors: 1, 61643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000011001011

Octal: 170313

Duodecimal: 2B80B

Hexadecimal: f0cb

Square: 3799859449

Square Root: 248.28008377636738

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

Primes p such that p+8, p+86, p+864 are prime. A236302

Numerator of ∑_k=1..n(-1)^k/φ(k), where φ = A000010. A211177

Primes p with f(p), f(f(p)) and f(f(f(p))) all prime, where f(n) = prime(n) - n + 1. A235934

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood. A288330

Primes that are sums of three, five and seven consecutive primes. A213814

Primes that do not divide any term of the Lucas 5-step sequence A074048. A106301

Primes p such that for all initial conditions (x(0),x(1),x(2),x(3),x(4)) in [0..p-1]⁵ except [0,0,0,0,0], the 5-step recurrence x(k) = x(k-1) + x(k-2) + x(k-3) + x(k-4) + x(k-5) (mod p) has the same period, but x⁵ - x⁴ - x³ - x² - x - 1 is reducible (mod p). A371569

Least prime P1 of 8 different primes: 4 consecutive primes P1 P2 P3 P4 and 4 primes Q1 Q2 Q3 Q4 such that Q1 with same digits than P1 if not 6 or 9, if 6 then replace with 9 and if 9 then replace with 6, same for Q2 from P2 Q3 from P3 and Q4 from P4. A122713

First n digits after the decimal point in the n-th root of n. A61643