Properties of the Number 9149

Nine Thousand One Hundred Forty-Nine

Basics

Value: 9148 → 9149 → 9150

Parity: odd

Prime: No

Previous Prime: 9137

Next Prime: 9151

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 1307

Divisors: 1, 7, 1307, 9149

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110111101

Octal: 21675

Duodecimal: 5365

Hexadecimal: 23bd

Square: 83704201

Square Root: 95.65040512198576

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 reduced words of length n in the Weyl group D₇. A162210

Number of integer partitions of n having a unique part of least multiplicity. A362610

Expansion of g.f. (1 +x²)/((1-x)²*(1 -3·x +2·x² -x³)). A136303

Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime. A325883

Numbers k such that k² == 2 (mod 23²). A156849

T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order. A227165

Expansion of sum ( qⁿ / product( 1-q^k, k=1..5·n), n=0..inf ). A35297

Numbers which need ten 'Reverse and Add' steps to reach a palindrome. A65215

a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)). A262909

Number of partitions p of n such that m(p) = m(c(p)), where m = minimal multiplicity of parts, and c = conjugate. A240731