Properties of the Number -4192

One Hundred Ninety-Two

Basics

Value: -4193 → -4192 → -4191

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 131

Divisors: 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000001100000

Octal: -10140

Duodecimal: -2514

Hexadecimal: -1060

Square: 17572864

Square Root: 64.74565622495459

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

Triangle read by rows: T(n,k) (1 <= k <= n) given by T(n,1) = T(n,n) = 1, otherwise T(n,k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = -3. A392664

Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left). A29447

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

a(n) = n·prime(n). A33286

Number of integer partitions of n whose greatest part is at most one more than the sum of the other parts. A336106

Numbers n such that binomial(2n, n) - 1 is prime. A66726

Product of the 5th power of a prime (A050997) and a different prime (p⁵*q). A178740

Number of compositions of n with all adjacent parts (x, y) satisfying x >= 2y or y = 2x. A342335

a(n) = ∑_k=1..n floor(n/k)*2^k-1. A268235

Numbers k such that φ(x) = k has exactly 10 solutions. A60673