Properties of the Number 37035

Thirty-Seven Thousand Thirty-Five

Basics

Value: 37034 → 37035 → 37036

Parity: odd

Prime: No

Previous Prime: 37021

Next Prime: 37039

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 823

Divisors: 1, 3, 5, 9, 15, 45, 823, 2469, 4115, 7407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000010101011

Octal: 110253

Duodecimal: 19523

Hexadecimal: 90ab

Square: 1371591225

Square Root: 192.44479727963548

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 k such that (2^k + 1)² - 2 = 4^k + 2^k+1 - 1 is prime. A91513

Number of integer partitions of n with some part that can be written as a nonnegative linear combination of the other distinct parts. A365068

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A282909

Numbers obtained by adding the first k repdigits that consist of the same digit, for some number k. A346535

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero icosahedral numbers in exactly n ways, or -1 if no such integer exists. A360215

Number of partitions p of n such that max(p) - (number of parts of p) is not a part of p. A238545

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252189

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252190

Partial sums of repdigits of A002277. A99670

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192