Properties of the Number -77

Seventy-Seven

Basics

Value: -78 → -77 → -76

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 14

Digital Root: 5

Palindrome: Yes

Factorization: 7 × 11

Divisors: 1, 7, 11, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: -1001101

Octal: -115

Duodecimal: -65

Hexadecimal: -4d

Square: 5929

Square Root: 8.774964387392123

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

Monic integer version of Chebyshev T-polynomials (increasing powers). A127672

a(n) = (n+1)*(2-n)/2. A80956

Triangle read by rows demonstrating Euler's pentagonal theorem for partition numbers. A175003

Expansion of q^-1/12η(q)η(q⁶)/(η(q²)η(q³)) in powers of q. A109389

Alternating sum σ(1)-σ(2)+σ(3)-σ(4)+...+((-1)ⁿ⁺¹)*σ(n). A68762

a(n) = A048250(n) - n, where A048250(n) is the sum of squarefree divisors of n. A325313

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 7. A51379

Irregular triangle read by rows: row n is the expansion of (1 + 2·x - x²)ⁿ. A123199

Define E(n) = ∑_{k >= 0} (-1)^floor(k/3)*kⁿ/k! for n = 0,1,2,.... Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(2). A143630

Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386). A343773