Properties of the Number 37870

Thirty-Seven Thousand Eight Hundred Seventy

Basics

Value: 37869 → 37870 → 37871

Parity: even

Prime: No

Previous Prime: 37861

Next Prime: 37871

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 7 × 541

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 541, 1082

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111101110

Octal: 111756

Duodecimal: 19ABA

Hexadecimal: 93ee

Square: 1434136900

Square Root: 194.6021582614129

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

This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2·n+1+(-1)^n-1]/4 and T(i,k) satisfies F(n)= ∑_i=1..k T(i,k) * n^k-i/(k-1)!. A99731

Triangle T(n,k) defined by ∑_k=1..n T(n,k)*u^k*xⁿ/n! = exp(∑_n>0 u*σ(n)*xⁿ/n!). A338871

Number of binary words of length n containing at least one subword 1000001 and no subwords 10ⁱ1 with i<5. A143285

Number of compositions a(1),...,a(k) of n, for some k, such that a(i+1) <= a(i) + 1 for 1 <= i < k and a(1) <= a(k) + 1. A168445

Number of length-4 0..n arrays with no repeated value unequal to the previous repeated value plus one mod n+1. A268945

Weird untouchable numbers. A357326

Expansion of e.g.f. (1/x) * Series_Reversion( x/(x + exp(x³/6)) ). A370878

30·a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 11. A90890

G.f. A(x) = lim_n->infinity (P(n) - 1)/(2·x)ⁿ, where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351509

a(n) = (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*2ⁱ} is base 2 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m. A37870