Properties of the Number 55377

Fifty-Five Thousand Three Hundred Seventy-Seven

Basics

Value: 55376 → 55377 → 55378

Parity: odd

Prime: No

Previous Prime: 55373

Next Prime: 55381

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 293

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 293, 879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001010001

Octal: 154121

Duodecimal: 28069

Hexadecimal: d851

Square: 3066612129

Square Root: 235.3231820284606

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

Numbers k such that k and the k-th triangular number T(k) = k*(k+1)/2 have only odd digits. A347475

G.f. A(x) satisfies: A(x) = x * ∏_k>=1 (1 + A(x^k))^k. A308370

Number T(n,k) of endofunctions f on [n] satisfying f³(i) = i for all i in [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A245958

Expansion of x*(-1+2·x-x²+7·x³+8·x⁴-7·x⁵+8·x⁶) / ((4·x³-x²+3·x-1)*(2·x⁴-2·x³+3·x²+1)*(x-1)²). A109249

Numbers k such that 10⁹⁹⁹⁹ + k is a (gigantic) prime. A142587

a(n) = largest prime <= n/2. A55377