Properties of the Number 24766

Twenty-Four Thousand Seven Hundred Sixty-Six

Basics

Value: 24765 → 24766 → 24767

Parity: even

Prime: No

Previous Prime: 24763

Next Prime: 24767

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 29 × 61

Divisors: 1, 2, 7, 14, 29, 58, 61, 122, 203, 406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000010111110

Octal: 60276

Duodecimal: 123BA

Hexadecimal: 60be

Square: 613354756

Square Root: 157.37217034787312

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 partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1. A35985

Otto Haxel's guess for magic numbers of nuclear shells. A33547

Triangle read by rows giving the sum of the number of k-matchings of the graphs obtained by deleting one edge and its two vertices from the ladder graph L_n = P₂ X P_n in all possible ways. A318243

a(n) = prime(prime(prime(A028815(n) - 1) - 1) - 1) - 1. A141133

If 0 <= n <= 3 then a(n) = n(n+1)(n+2)/3, if n >= 4 then a(n) = n(n²+5)/3. A162626

Bisection of A006950 (the odd part). A233759

Number T(n,k) of tilings of a 2 X n X n box using k bricks of shape 2 X 1 X 1 and 2*(n²-k) bricks of shape 1 X 1 X 1; triangle T(n,k), n>=0, 0<=k<=n², read by rows. A287152

Number of nX2 0..1 arrays with every element unequal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318031

Irregular triangle of denominators of the average value of the first letter over all derangements of {1, 2, ..., n} with k descents. A332010

Numbers n such that the sum of the digits of the n-th Fibonacci number written in bases 2, 3, 5 and 7 is prime. A111064