Properties of the Number 49954

Forty-Nine Thousand Nine Hundred Fifty-Four

Basics

Value: 49953 → 49954 → 49955

Parity: even

Prime: No

Previous Prime: 49943

Next Prime: 49957

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 24977

Divisors: 1, 2, 24977, 49954

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001100100010

Octal: 141442

Duodecimal: 24AAA

Hexadecimal: c322

Square: 2495402116

Square Root: 223.503914954526

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

a(n) = A142710(n)/2. A147586

Expansion of 1/(1 - ∑_k>=1 prime(k)#*x^k), where prime(k)# is the product of first k primes (A002110). A307364

Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) < cn(1,5) + cn(4,5) + cn(3,5). A39846

Number of permutations of length n which avoid the patterns 1243, 2341, 4132. A116740

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (1, -1, 1), (1, 1, 0)}. A149231

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 and a(2) = a(3) = 2. A49954

Triangular sequence from coefficients of characteristic polynomial of n X n prime element matrices: M=A.B.A^-1; (A(3) is singular): examples; A(4)= {{2, 3, 5, 7, 11}, {3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}} B(4)= {{3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}, {13, 17, 19, 23, 29}}. A137405