Properties of the Number -45996

Forty-Five Thousand Nine Hundred Ninety-Six

Basics

Value: -45997 → -45996 → -45995

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3833

Divisors: 1, 2, 3, 4, 6, 12, 3833, 7666, 11499, 15332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011001110101100

Octal: -131654

Duodecimal: -22750

Hexadecimal: -b3ac

Square: 2115632016

Square Root: 214.46678064446252

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

Numbers k such that σ(φ(k)) = φ(σ(k)). A33632

Number of integer partitions of n whose median part is the smallest. A361860

Numbers k such that σ(φ(k)) == φ(σ(k)) (mod k), that is, A033632(k)/k is an integer. A92584

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237332

a(n) is the smallest index k such that ∑_m=1..k 1/z(m) > n where z(m) is the imaginary part of the m-th nontrivial zero of the Riemann ζ function, n=0,1,2,... A332614

Numbers k such that σ(φ(k)) divides φ(σ(k)). A73858

Numbers k such that φ(2*σ(k)) = 2*σ(φ(k)). A67709

Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237326

Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237328

a(1) = 1; a(n+1) = ∑_d∣n σ(n/d)*a(d), where σ = sum of divisors (A000203). A307817