Properties of the Number 37120

Thirty-Seven Thousand One Hundred Twenty

Basics

Value: 37119 → 37120 → 37121

Parity: even

Prime: No

Previous Prime: 37117

Next Prime: 37123

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸ × 5 × 29

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 29, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001000100000000

Octal: 110400

Duodecimal: 19594

Hexadecimal: 9100

Square: 1377894400

Square Root: 192.66551326067673

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

Numbers of the form p⁸*q·r where p, q, and r are distinct primes. A179747

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is a part of p. A241735

Determinant of circulant matrix of order 4 with entries in the first row (-1)^j*∑_k>=0(-1)^k*binomial(n, 4·k+j), j=0,1,2,3. A290286

a(n) = 5*(n+1)*(9·n+4). A304507

Sorted elements of table (A035002) of a(m,n) = sum(a(m-k,n), k=1..m-1)+sum(a(m,n-k), k=1..n-1). A35001

Value of A114183 at end of n-th doubling run. A213656

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 2 array. A218078

a(n) is conjectured to be the largest power k for which k divides the sum of digits of n^k. A220365

Numbers of the form (24·x + 1)*2^y+6 with positive integers·and y. A231203

Number of length n 0..2 arrays with no pair in any consecutive three terms totalling exactly 2. A245989