Properties of the Number 37582

Thirty-Seven Thousand Five Hundred Eighty-Two

Basics

Value: 37581 → 37582 → 37583

Parity: even

Prime: No

Previous Prime: 37579

Next Prime: 37589

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 19 × 23 × 43

Divisors: 1, 2, 19, 23, 38, 43, 46, 86, 437, 817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001011001110

Octal: 111316

Duodecimal: 198BA

Hexadecimal: 92ce

Square: 1412406724

Square Root: 193.86077478437974

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 partitions of n in which no parts are multiples of 5. A35959

a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once. A60437

Coefficients of the A-Dyson Mod 27 identity. A104501

Record-breaking values, for increasing positive integers k == 1 or 5 mod 6, of the conjectured length of the longest primitive cycle(s) of positive integers under iteration by the Collatz-like 3x+k function. A226670

a(n) = 3·n³ + 2·n² + n. A67389

Numbers k such that k + sum of its prime factors = (k+1) + sum of its prime factors. A20700

Collatz trajectory starting at 3711. A179623

Position of largest coefficient of n-th self-composition of (x+x²) for n>=0. A122893

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}. A149446

Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,3. A37582