Properties of the Number 12412

Twelve Thousand Four Hundred Twelve

Basics

Value: 12411 → 12412 → 12413

Parity: even

Prime: No

Previous Prime: 12409

Next Prime: 12413

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 29 × 107

Divisors: 1, 2, 4, 29, 58, 107, 116, 214, 428, 3103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001111100

Octal: 30174

Duodecimal: 7224

Hexadecimal: 307c

Square: 154057744

Square Root: 111.40915581764364

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. A260001

Number of labeled forests of n nodes each component of which is a path. A11800

a(n) = n³ + (n+1)³ + (n+2)³ + (n+3)³. A27603

Third row of Pascal-(1,2,1) array A081577. A81583

a(n) = A000041(n) + n·A032741(n). A168015

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w³<x³+y³. A211801

Expansion of e.g.f. arcsinh(log(1 + x)). A296980

Composite numbers whose sum of aliquot parts divides the sum of the aliquot parts of the numbers less than or equal to n and not relatively prime to n. A249109

Number of distinct subsemigroups of the multiplicative semigroup of integers modulo n. A272213