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Properties of the Number 1968

One Thousand Nine Hundred Sixty-Eight

Basics

Value: 1967 → 1968 → 1969

Parity: even

Prime: No

Previous Prime: 1951

Next Prime: 1973

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 4 × 3 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11110110000

Octal: 3660

Duodecimal: 1180

Hexadecimal: 7b0

Square: 3873024

Square Root: 44.36214602563767

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 2's in all partitions of n. A24786
Number of maximal subsets of {1..n} such that it is possible to choose a different prime factor of each element. A370585
Numbers that can be expressed as the difference of the squares of primes in just one distinct way. A90781
a(n) = n*(n+7). A28563
Convolution of nonzero squares A000290 with themselves. A33455
a(n) = ∑k=1..n k*σ(k). A143128
Positive integers with as many proper divisors as the sum of their prime indices. A325792
Numbers n such that σ(n) = σ(n-1) + σ(n-2). A65900
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252532
Super-3 Numbers (3n3 contains substring '333' in its decimal expansion). A14569