Properties of the Number 97768

Ninety-Seven Thousand Seven Hundred Sixty-Eight

Basics

Value: 97767 → 97768 → 97769

Parity: even

Prime: No

Previous Prime: 97729

Next Prime: 97771

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 11 ² × 101

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 101, 121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111110111101000

Octal: 276750

Duodecimal: 486B4

Hexadecimal: 17de8

Square: 9558581824

Square Root: 312.6787488781417

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 2k such that p is the least prime in a Goldbach partition of 2k, where p = prime(n). A25017

Numbers k such that ∑_i=1..k i^τ(i) == 0 (mod k), where τ(i) = A000005(i), the number of divisors of i. A229095

'Reverse and Add!' trajectory of 1997. A63054

Records in A025017. A133427

Number of length 5 0..n arrays least squares fitting to a zero slope straight line, with a single point taken as having zero slope. A245135

Numbers n such that n³²+1 and (n+2)³²+1 are both prime. A217992

Numbers k having at least two complementary pairs of divisors (q, p) and (p', q') such that k = p·q = p'*q' where the decimal digits of p' are the 9's complement of the decimal digits of p and the decimal digits of q' are the 9's complement of the decimal digits of q. A226587

Bisection of Lucas numbers: a(n) = L(2·n) = A000032(2·n). A5248

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Numbers k such that k and k+1 are both refactorable numbers. A114617