Properties of the Number 37873

Thirty-Seven Thousand Eight Hundred Seventy-Three

Basics

Value: 37872 → 37873 → 37874

Parity: odd

Prime: No

Previous Prime: 37871

Next Prime: 37879

Digit Sum: 28

Digital Root: 1

Palindrome: Yes

Factorization: 11 ² × 313

Divisors: 1, 11, 121, 313, 3443, 37873

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001111110001

Octal: 111761

Duodecimal: 19B01

Hexadecimal: 93f1

Square: 1434364129

Square Root: 194.60986614249546

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 binary rooted trees with n nodes and internal path length n. A108643

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row and column divisible by 7, read as a binary number with top and left being the most significant bits. A262319

T(n,m) is the numerator of the resistance between two diametrically opposite nodes of a rectangular electric network of n·m quadratic cells in which all edges are replaced by one-ohm resistors, where T(n,m) is a triangle read by rows. A357113

Nonsquarefree numbers k such that A003415(k) divides A276086(k), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A371085

Palindromes with exactly 3 palindromic prime factors (counted with multiplicity). A46377

Numbers that are palindromic, divisible by 11 and have an odd number of digits. A45571

Number of (n+2)X(5+2) 0..1 arrays with each row and column divisible by 7, read as a binary number with top and left being the most significant bits. A262317

Composite palindromes whose divisors > 1 are all nontrivial palindromes (i.e., palindromes with at least two digits). A329100

Nonprime base-10 palindromes whose arithmetic derivative is a base-10 palindrome. A363248

T(n,m) is the denominator of the resistance between two diametrically opposite nodes of a rectangular electric network of n·m quadratic meshes in which all edges are replaced by one-ohm resistors, where T(n,m) is a triangle read by rows. A357114