Properties of the Number 4010

Four Thousand Ten

Basics

Value: 4009 → 4010 → 4011

Parity: even

Prime: No

Previous Prime: 4007

Next Prime: 4013

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 401

Divisors: 1, 2, 5, 10, 401, 802, 2005, 4010

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110101010

Octal: 7652

Duodecimal: 23A2

Hexadecimal: faa

Square: 16080100

Square Root: 63.324560795950255

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

a(n) = n*(n² + 1)/2. A6003

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Total number of odd parts in all partitions of n. A66897

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

Multiples of 5 with digit sum 5. A69540

Positions of occurrences of the natural numbers as third subsequence in A100035. A100038

Dispersion of (3·n-1), read by antidiagonals. A191450

Square array A by downward antidiagonals: A(n,k) = (3 + 3ⁿ*(2·floor(3·k/2) - 1))/6, n,k >= 1; read as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254051

a(n) is the sum of all divisors of the first n positive even numbers. A326124

Expansion of ψ(-q³) / f(q) where ψ(), f() are Ramanujan θ functions. A139135