Properties of the Number 12414

Twelve Thousand Four Hundred Fourteen

Basics

Value: 12413 → 12414 → 12415

Parity: even

Prime: No

Previous Prime: 12413

Next Prime: 12421

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2069

Divisors: 1, 2, 3, 6, 2069, 4138, 6207, 12414

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000001111110

Octal: 30176

Duodecimal: 7226

Hexadecimal: 307e

Square: 154107396

Square Root: 111.41813137905338

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 whose multiplicities cover an initial interval of positive integers. A317081

E.g.f. satisfies A(x) = 1/(1 + log(1 - x·A(x))). A52802

Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases. A4112

Sin(n) decreases monotonically to -1. A46964

Number of compositions (ordered partitions) of n into heptagonal numbers (A000566). A322799

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2 starting at an even level (0<=k<=floor(n/2)). A114462

a(n) is the maximal positive integer m for which exponents of prime(n) and prime(n+1) in the prime power factorization of m! are both powers of 2. A177498

a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/cos(n) > a(k)/cos(a(k)), so that a(1)/cos(a(1)) > a(2)/cos(a(2)) > ... > a(k)/cos(a(k)) > ... A172446

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

Numerators of continued fraction convergents to sqrt(33). A41054