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Properties of the Number 2077

Two Thousand Seventy-Seven

Basics

Value: 2076 → 2077 → 2078

Parity: odd

Prime: No

Previous Prime: 2069

Next Prime: 2081

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 × 67

Divisors: 1, 31, 67, 2077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100000011101

Octal: 4035

Duodecimal: 1251

Hexadecimal: 81d

Square: 4313929

Square Root: 45.574115460423364

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

a(n) = least k such that the remainder when 16k is divided by k is n. A128156
a(n) = n*(2·n+5). A33537
Numbers that are the sum of 11 consecutive primes. A127338
Poincaré series for invariant polynomial functions on the space of binary forms of degree 14. A293939
Poincaré series for invariant polynomial functions on the space of binary forms of degree 16. A293941
T(n,k)=Number of nXk binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266935
Denominator of ratio n*σ(A003961(n)) / σ(n)*A003961(n), where σ is the sum of divisors of n, and A003961 shifts the prime factorization of n one step towards larger primes. A341527
Numbers k such that the k-th composition in standard order has sum equal to twice its alternating sum. A348614
T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative. A199898
T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having four times some element equal to the sum of the remaining four. A249656