Properties of the Number -3872

Eight Hundred Seventy-Two

Basics

Value: -3873 → -3872 → -3871

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 11 ²

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111100100000

Octal: -7440

Duodecimal: -22A8

Hexadecimal: -f20

Square: 14992384

Square Root: 62.22539674441618

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

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

Ferromagnetic susceptibility series for f.c.c. lattice. A2924

A377091(k) for k in A379802. A379803

a(1) = 1; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361987

First term of n-th difference sequence of (floor(-k·e)), k >= 0. A325735

First term of n-th difference sequence of (floor(2*π*k)), k >= 0. A325740

Expansion of (1-x)^-1/(1+x-x²-2·x³). A77901

Triangle read by rows, based on products of Jacobsthal numbers (A001045). A378931

a(n) = 2·n². A1105

a(n) = period of the sequence {b(m), m>=0}, defined by b(m):=binomial(m+n,n) mod n. A133900