Properties of the Number 48103

Forty-Eight Thousand One Hundred Three

Basics

Value: 48102 → 48103 → 48104

Parity: odd

Prime: No

Previous Prime: 48091

Next Prime: 48109

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 4373

Divisors: 1, 11, 4373, 48103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011101111100111

Octal: 135747

Duodecimal: 23A07

Hexadecimal: bbe7

Square: 2313898609

Square Root: 219.3239612992616

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

Let Oc(n) = A005900(n) = n-th octahedral number. Consider all integer triples (i,j,k), j >= k > 0, with Oc(i) = Oc(j)+Oc(k), ordered by increasing i; sequence gives j values. A53677

Expansion of ∏_k>=1 1/(1 - x^k)^d(k-1), where d(k) = number of divisors of k (A000005). A318783

Triangle read by rows: T(n,k) (n >= 5, 4 <= k <= n-1) = number of lattice 3-polytopes of width larger than 1, size n, and k vertices. A319958

a(n+3) = 6a(n+2) - 10a(n+1) + 3a(n); a(0) = 1, a(1) = 4, a(2) = 14. A104487

Diagonal sums of the Riordan matrix (1/(1-3·x²),x/(1-x)) (A191582). A191584

G.f.: ∑_k>=0 x^k² * ∏_j=1..k 1/(1 - x^j)³. A376709

Triangle T(n,k) read by rows: the coefficient [x^k] of the series (1-x)^2n-1*∑_l>=0 A001263(n+3·l,3·l+1)*x^l, in row n>=1 with exponents k>=0. A178658

Numbers not divisible by p^p for any prime p. A48103

G.f. A(x) satisfies: ∑_k=0..n [x^k] A(x)ⁿ = binomial(7·n,2·n). A244653