Properties of the Number 15948

Fifteen Thousand Nine Hundred Forty-Eight

Basics

Value: 15947 → 15948 → 15949

Parity: even

Prime: No

Previous Prime: 15937

Next Prime: 15959

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 443

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 443

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111001001100

Octal: 37114

Duodecimal: 9290

Hexadecimal: 3e4c

Square: 254338704

Square Root: 126.28539107909513

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 k such that k!!! + 1 is prime (0 is included by convention). A37083

a(n) = ∑_k=0..n binomial(n+2·k-1,n-k) * Catalan(k). A360100

Number of ways to tile an n X n X n triangular area with two 2 X 2 X 2 triangular tiles and an appropriate number (= n²-8) of 1 X 1 X 1 tiles. A286437

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock. A237683

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A49970

G.f.: ∑_k>=0 x^k*(k+1/2) / ∏_j=1..k (1 - x^2·j-1)². A376624

Number of partitions into non-integral powers. A263

Number of columns with an even sum in all 2-compositions of n. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181328

Number of (n+1)X(1+1) 0..2 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock. A237678

Number of (n+1)X(4+1) 0..2 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock. A237681