Properties of the Number 12461

Twelve Thousand Four Hundred Sixty-One

Basics

Value: 12460 → 12461 → 12462

Parity: odd

Prime: No

Previous Prime: 12457

Next Prime: 12473

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 17 × 733

Divisors: 1, 17, 733, 12461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010101101

Octal: 30255

Duodecimal: 7265

Hexadecimal: 30ad

Square: 155276521

Square Root: 111.6288493177279

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 integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

a(n) = T(n,n-5), array T as in A055801. A55805

Define {b(n)} by b(1)=3, b(n) (n >= 2) is the smallest number such that b(1)² + ... + b(n)² = m² for some m and all b(i) are distinct. Sequence gives values of m. A18928

a(n) = ∑_{k + l·m <= n} (k + l·m), with 0 <= k,l,m <= n. A106846

Ulam's spiral (NNE spoke). A143861

a(n) = ∑_k=1..n (-1)^k+1 * floor((n/k)³). A350222

a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k. A24848

a(n) = A027052(n, 2n-6). A27062

a(n) = T(n, 2·n-5), T given by A027926. A27928

a(n) = -(n + 1)*(2·n² + n - 12)/6. A58372