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Properties of the Number 79116

Seventy-Nine Thousand One Hundred Sixteen

Basics

Value: 79115 → 79116 → 79117

Parity: even

Prime: No

Previous Prime: 79111

Next Prime: 79133

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 2 × 3 × 19 × 347

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011010100001100

Octal: 232414

Duodecimal: 39950

Hexadecimal: 1350c

Square: 6259341456

Square Root: 281.27566549561305

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

Total area of the largest inscribed rectangles of all integer partitions of n. A182099
Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its north, west or northeast neighbor modulo 3 and the upper left element equal to 0. A266292
Number of 4-member subsets of [4·n] whose elements sum to a multiple of n. A318625
Number of 6-ary rooted trees with n nodes and height exactly 4. A36642
Number of (3+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253700
Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n+2)/3. A48073
Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n+3)/3. A48084
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northeast neighbors modulo n and the upper left element equal to 0. A267392
a(n) = floor(1/(n-1) * ∑k=1..n-1 a(k)n/k), given a(0)=1, a(1)=2, a(2)=3. A79116