Properties of the Number 11837

Eleven Thousand Eight Hundred Thirty-Seven

Basics

Value: 11836 → 11837 → 11838

Parity: odd

Prime: No

Previous Prime: 11833

Next Prime: 11839

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 19 × 89

Divisors: 1, 7, 19, 89, 133, 623, 1691, 11837

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111000111101

Octal: 27075

Duodecimal: 6A25

Hexadecimal: 2e3d

Square: 140114569

Square Root: 108.79797792238604

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

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

Pentagonal numbers with prime indices. A116995

Odd pentagonal numbers. A14632

Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358). A115709

Nonsemiprimes in A306097 = A121707 \ A267999. A321488

a(n) = ∑_{k=0..floor((n-1)/3)} |Stirling1(n,3·k+1)|. A357829

Pentagonal numbers which are products of three distinct primes. A381650

Pseudoprimes to base 20. A20148

Number of essentially different semi-magic squares of order 3 with semimagic sum n. A122751

Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2. A180825