Properties of the Number 54972

Fifty-Four Thousand Nine Hundred Seventy-Two

Basics

Value: 54971 → 54972 → 54973

Parity: even

Prime: No

Previous Prime: 54959

Next Prime: 54973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 509

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011010111100

Octal: 153274

Duodecimal: 27990

Hexadecimal: d6bc

Square: 3021920784

Square Root: 234.46108419095907

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

Expansion of r(q⁴) / r(q)⁴ in powers of q where r() is the Rogers-Ramanujan continued fraction. A285584

Number of perfect-powers·in the range 2ⁿ <= x < 2ⁿ⁺¹. A377435

Related to enumeration of rooted catapolyoctagons (see Cyvin reference for precise definition). A121115

Number of ways to place 6 nonattacking knights on an n X n toroidal board. A172533

Number of right triangles on a (n+1)X7 grid. A189811

The number phi₃(n) of Frobenius partitions that allow up to 3 repetitions of an integer in a row. A53992

Smallest k such that k·i² + 1 is prime for i = 1 to n. A89761

Product of (sum of first n primes) and (product of first n primes). A54972