Properties of the Number 44196

Forty-Four Thousand One Hundred Ninety-Six

Basics

Value: 44195 → 44196 → 44197

Parity: even

Prime: No

Previous Prime: 44189

Next Prime: 44201

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 29 × 127

Divisors: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010110010100100

Octal: 126244

Duodecimal: 216B0

Hexadecimal: aca4

Square: 1953286416

Square Root: 210.22844717116664

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

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2. A214563

Square table, read by antidiagonals: the g.f. for row n is given recursively by (3·n-1)*x·R(n,x) = 1 + (3·n-4)*x - 1/R(n-1,x) for n >= 1 with the initial value R(0,x) = ∑_{k >= 0} A112936(k+1)*x^k. A355793

Satisfies A² = BINOMIAL(A090358³), where A090358⁶ = BINOMIAL(A090358⁵). A90361

Number of partitions of 2n in which both odd parts and parts that are multiples of 3 occur with even multiplicities. There is no restriction on the other even parts. A101230

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths incorporating each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2. A214503

a(n) is the unique nonnegative integer whose binary expansion is the parity sequence of the Collatz orbit of n, interpreted through a particular conjugacy (see Comments). A389685

Numbers n such that string 1,1 occurs in the base 8 representation of n but not of n-1. A44196