Properties of the Number 99630

Ninety-Nine Thousand Six Hundred Thirty

Basics

Value: 99629 → 99630 → 99631

Parity: even

Prime: No

Previous Prime: 99623

Next Prime: 99643

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 5 × 41

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000010100101110

Octal: 302456

Duodecimal: 497A6

Hexadecimal: 1852e

Square: 9926136900

Square Root: 315.6422025015033

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

Least positive integer k such that prime(k)-k, prime(k)+k, prime(k·n)-k·n, prime(k·n)+k·n, prime(k)+k·n and prime(k·n)+k are all prime. A259492

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234245

a(n) = ∑_k=0..3 f(n+k)² where f=A130519. A238604

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234242

Number of 2 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281206

Numbers n such that for every k = 1, 2, ..., A305706(n)-1, it is possible to insert plus signs into the decimal representation of n^k to make sum equal n. A305707

Triangle read by rows: T(n,k) is the number of permutations of the cyclic group Z/nZ whose longest embedded arithmetic progression has length k. A339942

Powers of fourth root of 15 rounded up. A18089

G.f. satisfies: A(x) = 1 + x·A(x)³/A(-x)³. A143556

Smallest and largest primes pairwise displayed with k digits from k=2,3,... with repeated decimal digits. A99630