Properties of the Number 4400

Four Thousand Four Hundred

Basics

Value: 4399 → 4400 → 4401

Parity: even

Prime: No

Previous Prime: 4397

Next Prime: 4409

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 11

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100110000

Octal: 10460

Duodecimal: 2668

Hexadecimal: 1130

Square: 19360000

Square Root: 66.332495807108

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

Number of balanced partitions of n: the largest part equals the number of parts. A47993

Second-order Eulerian triangle T(n,k), 1 <= k <= n. A8517

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Coefficient triangle for polynomials used for o.g.f.s for unsigned Stirling1 diagonals. A112007

Triangle of second-order Eulerian numbers T(n,k) (n>=0, 0 <= k <= n) read by rows. A201637

Number of non-alternating anti-run compositions of n. A345195

E2(n, k), the second-order Eulerian numbers with E2(0, k) = δ_{0, k}. Triangle read by rows, E2(n, k) for 0 <= k <= n. A340556

Triangle related to the o.g.f.s. of the right-hand columns of A130534 (E(x,m=1,n)). A163936

Numbers whose prime indices are all odd and cover an initial interval of odd positive integers. A356232

Multiples of 8 with digit sum 8. A69543