Properties of the Number -3975

Nine Hundred Seventy-Five

Basics

Value: -3976 → -3975 → -3974

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 53

Divisors: 1, 3, 5, 15, 25, 53, 75, 159, 265, 795

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111110000111

Octal: -7607

Duodecimal: -2373

Hexadecimal: -f87

Square: 15800625

Square Root: 63.047601064592456

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) = ∑_k=1..n (-1)^k*k³*floor(n/k). A366917

a(n) = 11ⁿ - n¹². A24139

Arithmetic derivative of the primorial base exp-function: a(n) = A003415(A276086(n)). A327860

Partial sums of A001157: ∑_j=1..n sigma₂(j). A64602

Numbers m such that there are precisely 3 groups of order m. A55561

Number of locally disjoint rooted identity trees with n nodes, meaning no branch overlaps any other branch of the same root. A316471

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

Number of integer partitions of n such that the upper-left square of the Young diagram has strictly greater graph-distance from the lower-right boundary than any other square. A325187

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A83029

Values of m such that m² + 6 is a triangular number (A000217). A276600