Properties of the Number 44753

Forty-Four Thousand Seven Hundred Fifty-Three

Basics

Value: 44752 → 44753 → 44754

Parity: odd

Prime: Yes

Previous Prime: 44741

Next Prime: 44771

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 44753

Divisors: 1, 44753

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010111011010001

Octal: 127321

Duodecimal: 21A95

Hexadecimal: aed1

Square: 2002831009

Square Root: 211.5490486861144

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

Sum of the third largest parts in the partitions of n into 7 parts. A308931

Primes p2 such that p1² + p2³ is an average of twin primes and p1 < p2 are consecutive primes. A138716

Primes that remain prime through 3 iterations of function f(x) = 2x + 7. A23275

The number of tilings of a 5 X (4n) floor with 1 X 4 tetrominoes. A236579

Primes p such that googol - p is prime. A108252

P(n,k) is an array read by rows, with n > 0 and k=1..5, where row n gives the chain of 5 consecutive primes {p(i), p(i+1), p(i+2), p(i+3), p(i+4)} having the symmetrical property p(i) + p(i+4) = p(i+1) + p(i+3) = 2·p(i+2) for some index i. A267028

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1111-0110 pattern in any orientation. A146616

Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n+1. A44753

a(n) = ∑_{k = 0..n} binomial(n, k)²*binomial(n+k, k)*A108625(n, n-k). A376462