Properties of the Number 10497

Ten Thousand Four Hundred Ninety-Seven

Basics

Value: 10496 → 10497 → 10498

Parity: odd

Prime: No

Previous Prime: 10487

Next Prime: 10499

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3499

Divisors: 1, 3, 3499, 10497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000001

Octal: 24401

Duodecimal: 60A9

Hexadecimal: 2901

Square: 110187009

Square Root: 102.45486811274513

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) = 2·a(n-1) + a(n-2); a(0)=1, a(1)=4. A48654

a(n) = 6·a(n-1) - a(n-2), n >= 2, a(0)=1, a(1)=9. A38761

Pascal-(1,3,1) array. A81578

Antidiagonal-sums of absolute value of the array A377038(n,k) = n-th term of k-th differences of squarefree numbers (A005117). A377040

2·a(n)² + 7 is a square. A77442

Number A(n,k) of paths starting at {n}^k to a border position where one component equals 0 using steps that decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A210472

Number of integer partitions of n containing all divisors of all parts. A371178

Result of using the primes as coefficients in an infinite polynomial series in·and then expressing this series as (1+a(1)x)(1+a(2)x²)(1+a(3)x³)... A147557

Start with the sequence S(0)={1,1} and for k>0 define S(k) to be I(S(k-1)) where I denotes the operation of inserting, for i=1,2,3..., the term a(i)+a(i+1) between any two terms for which 4a(i+1)<=5a(i). The listed terms are the initial terms of the limit of this process as k goes to infinity. A82981

a(n) = 104·n + 9977. A126978