Properties of the Number 53970

Fifty-Three Thousand Nine Hundred Seventy

Basics

Value: 53969 → 53970 → 53971

Parity: even

Prime: No

Previous Prime: 53959

Next Prime: 53987

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 257

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011010010

Octal: 151322

Duodecimal: 27296

Hexadecimal: d2d2

Square: 2912760900

Square Root: 232.3144420822778

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

Stella octangula numbers: a(n) = n*(2·n² - 1). A7588

Numbers k having exactly 5 distinct prime factors, the largest of which is greater than or equal to sqrt(k) (i.e., sqrt(k)-rough numbers with exactly 5 distinct prime factors). A115959

Number of n-dimensional partitions of 5. A8779

a(n) = number of primes of the form P(k) = k² + 1 <= 10ⁿ as predicted by the Hardy and Littlewood Conjecture F, rounded to nearest integer. The actual number of primes is A083844(n). A331942

Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0,2. A37772

Triangle read by rows: expansion of p(x,n)=If[n == 0, 1, (x + 1)ⁿ + 2^{n - 3}*Sum[Binomial[n, m]*x^m*(1 + x^{n - 2·m}), {m, 1, n - 1}]]. A146767

Square array: A(r,1) = A065621(r); for c > 1, A(r,c) = A048724(A(r,c-1)), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. A277820

Numbers k such that k² contains only digits {5,6,9}. A53970