Properties of the Number 10409

Ten Thousand Four Hundred Nine

Basics

Value: 10408 → 10409 → 10410

Parity: odd

Prime: No

Previous Prime: 10399

Next Prime: 10427

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 1487

Divisors: 1, 7, 1487, 10409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100010101001

Octal: 24251

Duodecimal: 6035

Hexadecimal: 28a9

Square: 108347281

Square Root: 102.02450685987166

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero. A232316

T(n,k) is the number permutations p of [n] that are k-dist-increasing but not j-dist-increasing for any j<k, where p is j-dist-increasing if j>=0 and p(i)<p(i+j) for all i in [n-j]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A370507

Total number of all distinct cycle sizes in all permutations of [n]. A132961

G.f.: q-cosh(x) evaluated at q=-x. A198201

Generalized Lucas-Pascal triangle: (101·100ⁿ,1). A164855

Number of partitions p of n such that max(p)-min(p) = 8. A218571

Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts. A280320

p such that p⁴ + q⁴ = r⁴ + s⁴ = a(n). A88728

Interpolate 0's between each pair of digits of n-th prime. A92909

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones. A31822