Properties of the Number 41748

Forty-One Thousand Seven Hundred Forty-Eight

Basics

Value: 41747 → 41748 → 41749

Parity: even

Prime: No

Previous Prime: 41737

Next Prime: 41759

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 ² × 71

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001100010100

Octal: 121424

Duodecimal: 201B0

Hexadecimal: a314

Square: 1742895504

Square Root: 204.32327327056993

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 pairs (p,q) of partitions such that q is a partition of n and p <= q (diagram containment). A297388

Number of unlabeled loop-graphs with n vertices and at most n edges. A370168

Smallest a(n) > a(n-1) such that a(n)²+a(n-1)² is a perfect square, with a(1)=5. A76671

E.g.f.: ∏_k>=1 1 / (1 - x^k)^tan(x). A347774

Numbers k such that k | sigma₇(k) - φ(k)⁷. A55701

Number of 3X3 0..n arrays with the array of 2X2 subblock determinants antisymmetric and no off-diagonal 2X2 subblock determinant zero. A187522

Number of nondecreasing arrangements of n numbers in -(2n-2)..(2n-2) with sum zero and not more than two numbers equal. A188227

Number of nondecreasing arrangements of n numbers in -(n+5)..(n+5) with sum zero and not more than two numbers equal. A188234

Number of nondecreasing arrangements of 7 numbers in -(n+5)..(n+5) with sum zero and not more than two numbers equal. A188240

Number of (n+1) X (7+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock. A235953