Properties of the Number 9953

Nine Thousand Nine Hundred Fifty-Three

Basics

Value: 9952 → 9953 → 9954

Parity: odd

Prime: No

Previous Prime: 9949

Next Prime: 9967

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 37 × 269

Divisors: 1, 37, 269, 9953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011100001

Octal: 23341

Duodecimal: 5915

Hexadecimal: 26e1

Square: 99062209

Square Root: 99.76472322419383

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 in which the greatest part is 7. A26813

Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,... A86514

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order. A50791

Number of necklace compositions of n with no part circularly followed by a divisor. A328600

Number of partitions of n into at most 7 parts. A8636

a(n) = ∑_k=1..n k²*(floor(n/k) - 1). A279847

Expansion of 1/∏_k>=1 (1 - x^k)^{valuation(k,4} + 1). A373295

Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum. A119897

Values of A005132 at its low points. A324785

a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1. A33499