Properties of the Number 37278

Thirty-Seven Thousand Two Hundred Seventy-Eight

Basics

Value: 37277 → 37278 → 37279

Parity: even

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 19 × 109

Divisors: 1, 2, 3, 6, 9, 18, 19, 38, 57, 109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110011110

Octal: 110636

Duodecimal: 196A6

Hexadecimal: 919e

Square: 1389649284

Square Root: 193.07511491644902

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 integer partitions of n whose run-sums are not weakly decreasing. A357878

Expansion of ∏_m>=1 (1+x^m)¹⁹. A22584

0-sequence of reduction of (n³) by x² -> x+1. A192256

Number of (w,x,y) with all terms in {0,...,n} and 2∣w-x| >= max(w,x,y)-min(w,x,y). A213388

Expansion of 1/(1 - ∑_k>=2 floor(1/ω(2·k-1))*x^2·k-1), where ω() is the number of distinct prime factors (A001221). A280200

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 43", based on the 5-celled von Neumann neighborhood. A269878

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 163", based on the 5-celled von Neumann neighborhood. A270455

Replace n with concatenation of its divisors. A37278

G.f. satisfies: A(x) = (1 - 3·x*A(x))² * (4·A(x) - 3). A231616