Properties of the Number 12529

Twelve Thousand Five Hundred Twenty-Nine

Basics

Value: 12528 → 12529 → 12530

Parity: odd

Prime: No

Previous Prime: 12527

Next Prime: 12539

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 17 × 67

Divisors: 1, 11, 17, 67, 187, 737, 1139, 12529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011110001

Octal: 30361

Duodecimal: 7301

Hexadecimal: 30f1

Square: 156975841

Square Root: 111.93301568348814

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

Structured rhombic dodecahedral numbers (vertex structure 9). A100157

T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188607

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows. A243366

T(n,k) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A381529

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

1/24 of product of three numbers: n-th prime, previous and following number. A127922

a(0)=0; then a(4·k+1)=a(4·k)+(4·k+1)², a(4·k+2)=a(4·k+1)+(4·k+3)², a(4·k+3)=a(4·k+2)+(4·k+2)², a(4·k+4)=a(4·k+3)+(4·k+4)². A115391

The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225972

Number of Dyck paths of semilength n avoiding the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)). A243412