Properties of the Number 54416

Fifty-Four Thousand Four Hundred Sixteen

Basics

Value: 54415 → 54416 → 54417

Parity: even

Prime: No

Previous Prime: 54413

Next Prime: 54419

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 19 × 179

Divisors: 1, 2, 4, 8, 16, 19, 38, 76, 152, 179

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010010010000

Octal: 152220

Duodecimal: 275A8

Hexadecimal: d490

Square: 2961101056

Square Root: 233.27237298917333

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 q / (χ(q) * χ(q²) * χ(q³) * χ(q⁶))² in powers of q where χ() is a Ramanujan θ function. A212770

Number of separable partitions of n that consist of an odd number of parts. A325724

Expansion of e.g.f. exp(arctanh(x)*tan(x)) (even powers only). A12725

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252144

arcsinh(sec(x)*arctan(x))=x+28/5!*x⁵-728/7!*x⁷+54416/9!*x⁹... A12808

n!*LaguerreL(n,4,-8). A55613

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

Numbers k such that 9090...9091 (with k-1 copies of 90 and one copy of 91) is prime. A54416