Properties of the Number 2149

Two Thousand One Hundred Forty-Nine

Basics

Value: 2148 → 2149 → 2150

Parity: odd

Prime: No

Previous Prime: 2143

Next Prime: 2153

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 307

Divisors: 1, 7, 307, 2149

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100101

Octal: 4145

Duodecimal: 12B1

Hexadecimal: 865

Square: 4618201

Square Root: 46.357307945997036

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

Sum of divisors of square numbers. A65764

Number of sublattices of index n in generic 3-dimensional lattice. A1001

Number of permutations P of {1,2,...,n} such that P(1)=1 and |P^-1(i+1)-P^-1(i)| equals 1 or 2 for i=1,2,...,n-1. A38718

Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end). A68679

Number of partitions of n into distinct parts, the least being odd. A26832

a(n) = (14·n*(n+3) + (2·n-5)*(-1)ⁿ + 21)/16. A193053

T(n,k)=Number of nXk 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224038

Indices where A248218(n) = 1. A248219

a(n) = n*(7·n + 11)/2 + 1. A198017

T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors. A208637