Properties of the Number 12372

Twelve Thousand Three Hundred Seventy-Two

Basics

Value: 12371 → 12372 → 12373

Parity: even

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1031

Divisors: 1, 2, 3, 4, 6, 12, 1031, 2062, 3093, 4124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001010100

Octal: 30124

Duodecimal: 71B0

Hexadecimal: 3054

Square: 153066384

Square Root: 111.22949249187465

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 where the parts do not have the same median as the distinct parts. A360244

Number of bridged bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition). A121331

Number of binary strings of length n with no substrings equal to 0001 or 0010. A164392

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238311

Number of finite sets of positive integers whose right half (inclusive) sums to n. A360955

Array read by ascending antidiagonals where T(n,k) is the number of paths of length k from the origin to a facet of the cross polytope of size k in Zⁿ. A371064

Cascadence of (1+2x)²; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0. A120914

Numbers n such that 4n + 1, 4n + 2 and 4n + 3 are not squarefree. A258332

Number of 2 X n matrices over GF(3) under row and column permutations. A52267

Number of labeled trees with n nodes and 2-colored internal (non-leaf) nodes. A52317