Properties of the Number -29975

Twenty-Nine Thousand Nine Hundred Seventy-Five

Basics

Value: -29976 → -29975 → -29974

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 11 × 109

Divisors: 1, 5, 11, 25, 55, 109, 275, 545, 1199, 2725

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111010100010111

Octal: -72427

Duodecimal: -1541B

Hexadecimal: -7517

Square: 898500625

Square Root: 173.13289693180786

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 non-isomorphic multiset partitions of weight n whose incidence matrix has all distinct entries. A321662

Number of series-reduced rooted identity trees whose leaves are integer partitions whose multiset union is an integer partition of n. A320171

Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention. A389918

Coefficient of·in the reduction of the polynomial x(x+1)(x+2)...(x+n-1) by x² -> x+1. A192239

Constant term of the reduction by x² -> x + 1 of the polynomial p(n,x) = ∏_k=1..n (x+k). A192936

a(n) = least k such that either 6·k*M(n)-1 or 6·k*M(n)+1 or both is prime, where M(i)= i-th Mersenne prime. A145983

a(n) = (n³+5·n+3)/3 + 2·floor(n/2) + a(n-2), with a(0)=1 and a(1)=3. A336529

Integers·such that there exist four integers 0<y<=z<=t<=w such that σ(x)⁵ = x⁵ + y⁵ + z⁵ + t⁵ + w⁵. A386672

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 0), (1, 0, 1), (1, 1, 0)}. A150385