Properties of the Number 4077

Four Thousand Seventy-Seven

Basics

Value: 4076 → 4077 → 4078

Parity: odd

Prime: No

Previous Prime: 4073

Next Prime: 4079

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 151

Divisors: 1, 3, 9, 27, 151, 453, 1359, 4077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111101101

Octal: 7755

Duodecimal: 2439

Hexadecimal: fed

Square: 16621929

Square Root: 63.85138996137829

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

Number of partitions of n for which the number of even parts is equal to the positive alternating sum of the parts. A277579

Numbers m such that there are precisely 13 groups of order m. A292896

Number of strict integer partitions of n with either (1) no part dividing all the others or (2) no part divisible by all the others. A343382

Irregular triangle read by rows: T(n,k) = ∑_i=0..k (-1)ⁱ * binomial(3·n+1,i) * binomial(k+3-i,3)ⁿ, 0 <= k <= 3*(n-1). A174266

The ED4 array read by antidiagonals. A167584

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250583

The PD_t(n) function (Number of tagged parts over all the partitions of n with designated summands). A293421

Number of partitions of n having depth 2; see Comments. A237750

Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition). A256530