Properties of the Number 12246

Twelve Thousand Two Hundred Forty-Six

Basics

Value: 12245 → 12246 → 12247

Parity: even

Prime: No

Previous Prime: 12241

Next Prime: 12251

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 157

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 157, 314

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111111010110

Octal: 27726

Duodecimal: 7106

Hexadecimal: 2fd6

Square: 149964516

Square Root: 110.66164647247935

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

a(n) = p*(p-1)/2 for p = prime(n). A8837

a(n) = 2·n*(4·n + 1). A33585

First term of the n-th differences of the nonsquarefree numbers. Inverse zero-based binomial transform of A013929. A377049

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4. A239649

Triangular numbers which are the average of two consecutive primes. A130178

Square array T(n, k), n >= 1, k >= 1, read by antidiagonals, of the least numbers whose symmetric representation of σ instantiate the unimodal width pattern 1, 2, ..., n, ..., 2, 1 repeated k times separated by instances of width 0. A367377

Numbers k of the earliest occurrence of widths patterns in the symmetric representation of σ listed in the ordering of patterns in A342595. A342596

a(n) = n*(n+1)*(n²+n+1)/2. A110450

a(n) = A185128(n) + A185129(n). A185243

a(n) = 3·n*(6·n + 1). A144314