Properties of the Number 37844

Thirty-Seven Thousand Eight Hundred Forty-Four

Basics

Value: 37843 → 37844 → 37845

Parity: even

Prime: No

Previous Prime: 37831

Next Prime: 37847

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 9461

Divisors: 1, 2, 4, 9461, 18922, 37844

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111010100

Octal: 111724

Duodecimal: 19A98

Hexadecimal: 93d4

Square: 1432168336

Square Root: 194.53534383242547

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185640

Sum of partial sums of partition numbers (A026905) and partial sums of numbers of partitions into distinct parts (A026906). A56871

Number of (n+1)X2 0..3 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185637

Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*3ⁱ: i=0,1,...,m} is base 3 representation of n. A37844

Number of n X 4 0..1 arrays with every element unequal to 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero. A316579