Properties of the Number 55237

Fifty-Five Thousand Two Hundred Thirty-Seven

Basics

Value: 55236 → 55237 → 55238

Parity: odd

Prime: No

Previous Prime: 55229

Next Prime: 55243

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 13 × 607

Divisors: 1, 7, 13, 91, 607, 4249, 7891, 55237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101011111000101

Octal: 153705

Duodecimal: 27B71

Hexadecimal: d7c5

Square: 3051126169

Square Root: 235.02553052806837

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 elements in Z[ i ] whose 'smallest algorithm' is <= n. A6457

Last term where no prime sums occur in A161190 in a 4-diagonal set of 24 terms. A161193

a(n) = round(cⁿ) with prime generating constant c = 55237.07504296764715433124... . A333127

Irregular triangle read by rows. Properly color the vertices of a simple labeled graph on [n] using exactly n colors c₁<c₂<...<c_n (in other words, use each color exactly once). Orient the edges according to the strict order on the colors. T(n,k) is the number of such graphs with exactly k descents, n>=0, 0<=k<=binomial(n,2). A381192

Sums of two powers of 5. A55237

Decimal expansion of a prime generating constant c for which round(c^k) is prime for 2 <= k <= 633. A335321

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260367

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