Properties of the Number 10614

Ten Thousand Six Hundred Fourteen

Basics

Value: 10613 → 10614 → 10615

Parity: even

Prime: No

Previous Prime: 10613

Next Prime: 10627

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 29 × 61

Divisors: 1, 2, 3, 6, 29, 58, 61, 87, 122, 174

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101110110

Octal: 24566

Duodecimal: 6186

Hexadecimal: 2976

Square: 112656996

Square Root: 103.02426898551623

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

Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085). A331087

Number of integer partitions of n where the parts have greater mean than the distinct parts. A360250

Number of regions formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts. A343755

Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n. A114044

Numbers whose square is a permutational number A134640. A134742

Number of partitions of 4n into distinct parts with equal sums of odd and even parts. A255001

Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a. A96031

Triangle, T(n, k) = coefficients [x^k]( p(x,n) ), where p(x, n) = (x+1)ⁿ for n < 2, otherwise (x+1)ⁿ + x*((1+x)^n-2 + 2^n-2*(1-x)^n-1*LerchPhi(x, 2-n, 1/2)), read by rows. A147566

Number of binary sequences of length n having a conjugate at Hamming distance 2. A179674

A generalized q-Catalan number for q=2. A185994