Properties of the Number 8157

Eight Thousand One Hundred Fifty-Seven

Basics

Value: 8156 → 8157 → 8158

Parity: odd

Prime: No

Previous Prime: 8147

Next Prime: 8161

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2719

Divisors: 1, 3, 2719, 8157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111111011101

Octal: 17735

Duodecimal: 4879

Hexadecimal: 1fdd

Square: 66536649

Square Root: 90.31611151948472

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 integer partitions y of n such that ∏_{i in y} prime(i)/i is an integer. A324925

Numbers whose square is the concatenation of two numbers k and k-4. A115443

Number of digits in A110782(n). A110783

Partial sums of A000141. A175361

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A288901

Row sums of triangle A132729. A132730

Numbers k such that there are 2 primes between 100·k and 100·k + 99. A186394

Where the difference A055938(n) - A005187(n) obtains record values; positions of records in A257126. A257130

G.f.: exp( ∑_n>=1 A322205(n)*xⁿ/n ), where A322205(n) is the coefficient of x^2·n*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)). A322206

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