Properties of the Number 3139

Three Thousand One Hundred Thirty-Nine

Basics

Value: 3138 → 3139 → 3140

Parity: odd

Prime: No

Previous Prime: 3137

Next Prime: 3163

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 43 × 73

Divisors: 1, 43, 73, 3139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001000011

Octal: 6103

Duodecimal: 1997

Hexadecimal: c43

Square: 9853321

Square Root: 56.02677931132576

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

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Number of sum-free subsets of {1, ..., n}. A7865

Left half of trinomial triangle (A027907), triangle read by rows. A111808

Square array read by falling antidiagonals of central polynomial coefficients: largest coefficient in expansion of (1 + x + x² + ... + x^n-1)^k = ((1-xⁿ)/(1-x))^k, i.e., the coefficient of x^floor(k*(n-1)/2) and of x^ceiling(k*(n-1)/2); also number of compositions of floor(k*(n+1)/2) into exactly k positive integers each no more than n. A77042

Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0. A201552

Composite and every divisor (except 1) contains the digit 3. A62668

Riordan array (1/sqrt(1-2·x-3·x²), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006. A114422

Number A(n,k) of compositions of n into exactly n nonnegative parts <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A305161

a(n) = n*(3·n + 17)/2. A140674

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k·x)*BesselI(0,2·x). A292627