Properties of the Number 64919

Sixty-Four Thousand Nine Hundred Nineteen

Basics

Value: 64918 → 64919 → 64920

Parity: odd

Prime: Yes

Previous Prime: 64901

Next Prime: 64921

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 64919

Divisors: 1, 64919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110110010111

Octal: 176627

Duodecimal: 3169B

Hexadecimal: fd97

Square: 4214476561

Square Root: 254.7920720901653

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 of compositions of n with some part repeated. A261982

First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4). A54828

First term of weak prime septet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4) < p(m+6)-p(m+5). A54834

G.f. satisfies A(x) = ∑_n>=1 2^n-1 * A(x^2·n)/A(xⁿ), with A(0) = 0 and A'(0) = 1. A378262

Lesser of twin primes P(k) and P(k+1) such that Sd(P(k)) + Sd(P(k+1)) = Sd(k) + Sd(k+1), where Sd(x) is the sum of digits of x. A277111

a(n) is the least integer k such that k·prime(n) is in A346113, or 0 if no such k exists. A346177

a(n) is the first prime p such that the next n primes are p+2·k² for k=1..n. A350868

Primes in A152535. A152563

a(n) = Min { k | A064916(k) = n }. A64919

Integers n such that p = 4n + 1, q = 4p + 3, r = 4q + 5, s = 4r + 7 and t = 4s + 9 are all prime. A243528