Properties of the Number -75167

Seventy-Five Thousand One Hundred Sixty-Seven

Basics

Value: -75168 → -75167 → -75166

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 75167

Divisors: 1, 75167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10010010110011111

Octal: -222637

Duodecimal: -375BB

Hexadecimal: -1259f

Square: 5650077889

Square Root: 274.16600810457885

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

Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1). A54818

Primes p such that x⁴⁹ = 2 has no solution mod p, but x⁷ = 2 has a solution mod p. A59667

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240460

Number of free n-ominoes with cell centers determining n-2 space (proper dimension n-2). A36364

Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime. A137366

a(n) = 58·n² - 1. A158668

Number of partitions of n+2 with largest inscribed rectangle having area <= n. A218623

Expansion of (1+12·x+28·x²+12·x³+x⁴)/(1-x)⁵. A160767

Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240457

Number of 5Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240464