Properties of the Number -4557

Five Hundred Fifty-Seven

Basics

Value: -4558 → -4557 → -4556

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 31

Divisors: 1, 3, 7, 21, 31, 49, 93, 147, 217, 651

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000111001101

Octal: -10715

Duodecimal: -2779

Hexadecimal: -11cd

Square: 20766249

Square Root: 67.50555532695068

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 all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts. A235324

The discriminant of the characteristic polynomial of the O+ and O- submatrix for spin 3 of the nuclear electric quadrupole Hamiltonian is a perfect square for these values. A138976

a(n) = 4·n² - 10·n + 7. A54554

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Numbers k such that 2^k + 9 is prime. A57196

a(n) = p² + p + 1 where p runs through the primes. A60800

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Number of strict integer partitions of n with either (1) no part dividing all the others or (2) no part divisible by all the others. A343382

Number of quanimous subsets of {1..n} containing n, meaning there is more than one set partition with equal block-sums. A371797

a(n) = ∑_{k=0..floor(n/2)} A026615(n-k,k). A26625