Properties of the Number 4407

Four Thousand Four Hundred Seven

Basics

Value: 4406 → 4407 → 4408

Parity: odd

Prime: No

Previous Prime: 4397

Next Prime: 4409

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 113

Divisors: 1, 3, 13, 39, 113, 339, 1469, 4407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100110111

Octal: 10467

Duodecimal: 2673

Hexadecimal: 1137

Square: 19421649

Square Root: 66.385239323211

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 T₀ integer partitions of n. A319564

Expansion of x*(1+x+x²) / ( (x-1)*(x³+x²-1) ). A171861

Triangle T(n,k) = P(n,k)/2, n >= 2, 1 <= k < n, of one-half of number of permutations of 1..n such that the differences have k runs with the same signs. A8970

a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46256

Numbers k such that p=k²+2 and p+2 are primes. A86381

Number T(n,k) of compositions of n into k parts with distinct multiplicities, where parts are counted without multiplicities; triangle T(n,k), n>=0, 0<=k<=max{i:A000292(i)<=n}, read by rows. A242896

Split positive integers into extending even groups and sum: 1+2, 3+4+5+6, 7+8+9+10+11+12, 13+14+15+16+17+18+19+20, ... A61317

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260609

Row sums of the triangular array A246694. A246695

Number of integer partitions of n whose weighted sum is not divisible by n. A362560