Properties of the Number 37850

Thirty-Seven Thousand Eight Hundred Fifty

Basics

Value: 37849 → 37850 → 37851

Parity: even

Prime: No

Previous Prime: 37847

Next Prime: 37853

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 ² × 757

Divisors: 1, 2, 5, 10, 25, 50, 757, 1514, 3785, 7570

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111011010

Octal: 111732

Duodecimal: 19AA2

Hexadecimal: 93da

Square: 1432622500

Square Root: 194.5507645834372

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 compositions (ordered partitions) of n into square pyramidal numbers (A000330). A322340

Thickened pyramidal numbers: a(n) = 2*(n+1)*n + ∑_i=1..n (4·i*(i-1) + 1). A50533

Expansion of q * (χ(-q) * χ(-q⁵))^-4 in powers of q where χ() is a Ramanujan θ function. A93831

Number of terms k such that difference between halving and tripling steps in Collatz (3x+1) trajectory of k is n. A213678

a(n) = ∑_k=1..n-1 k·A088459(n, k). A301566

a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*9ⁱ: i=0,1,...,m} is the base 9 representation of n. A37850

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 7 or 8 king-move adjacent elements, with upper left element zero. A305585