Properties of the Number 2870

Two Thousand Eight Hundred Seventy

Basics

Value: 2869 → 2870 → 2871

Parity: even

Prime: No

Previous Prime: 2861

Next Prime: 2879

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 41

Divisors: 1, 2, 5, 7, 10, 14, 35, 41, 70, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100110110

Octal: 5466

Duodecimal: 17B2

Hexadecimal: b36

Square: 8236900

Square Root: 53.5723809439155

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

Functional determinants; partitions of partitions; Euler transform applied twice to all 1's sequence. A1970

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Number of compositions (ordered partitions) of n into squares. A6456

a(0)=0, a(1)=2 then a(n) = a(n-2) + 2·sqrt(8·a(n-1)² + 8·a(n-1) + 1). A53141

Generalized 17-gonal (or heptadecagonal) numbers: m*(15·m - 13)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303305

Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay). A8610

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

Primitive pseudoperfect numbers. A6036

Number of nonnegative integer 2 X 2 matrices with sum of elements equal to n, under row and column permutations. A53307