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Properties of the Number 2970

Two Thousand Nine Hundred Seventy

Basics

Value: 2969 → 2970 → 2971

Parity: even

Prime: No

Previous Prime: 2969

Next Prime: 2971

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 3 × 5 × 11

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011010

Octal: 5632

Duodecimal: 1876

Hexadecimal: b9a

Square: 8820900

Square Root: 54.49770637375485

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

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943
Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer. A1599
Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492
a(n) = 2·n*(2·n+1). A2943
Number of partitions of n with nonnegative rank. A64174
a(n) = floor(n(n+2)(2n+1)/8). A2717
Square array T(n,k) (n >= 1, k >= 0) read by antidiagonals: coordination sequence for root lattice An. A103881
a(n) = n*(n+1)*(n+2)*(n+3)/4. A33487
Triangle read by rows: T(n,k) = number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to k. A180281
Number of partitions of n such that (number of distinct parts) = maximal multiplicity of the parts. A239964