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Properties of the Number 17966

Seventeen Thousand Nine Hundred Sixty-Six

Basics

Value: 17965 → 17966 → 17967

Parity: even

Prime: No

Previous Prime: 17959

Next Prime: 17971

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 691

Divisors: 1, 2, 13, 26, 691, 1382, 8983, 17966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011000101110

Octal: 43056

Duodecimal: A492

Hexadecimal: 462e

Square: 322777156

Square Root: 134.03730823916152

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-set with distinct block sizes. A7837
Number T(n,k) of set partitions of [n] with maximal block length multiplicity equal to k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A271423
Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into distinct parts incorporating k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327869
T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,1,2,0,3 for x=0,1,2,3,4. A196967
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A317125
DIK(b)-DIK[ 2 ](b)-b where b is A035082. A35083
Triangle read by rows: T(n,k) is the number of multiset partitions of weight n whose union is a k-set where each part has a different size. A332253
Numbers n such that φ(n) = ∑j=1..k d(nj) for some k, where φ(n) is the Euler totient function of n and d(n) is the number of divisors of n. A283757
The start of a record-breaking run of consecutive integers with a number of prime factors not equal to 2. A67650
a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer. A96384