Properties of the Number 9616

Nine Thousand Six Hundred Sixteen

Basics

Value: 9615 → 9616 → 9617

Parity: even

Prime: No

Previous Prime: 9613

Next Prime: 9619

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 601

Divisors: 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010110010000

Octal: 22620

Duodecimal: 5694

Hexadecimal: 2590

Square: 92467456

Square Root: 98.0612053770501

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

Multiples of 16 containing a 16 in their decimal representation. A121036

Icosahedral numbers: a(n) = n*(5·n² - 5·n + 2)/2. A6564

Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n). A358889

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of two tones of musical harmony: the perfect 4th, 4/3 and its complement the perfect 5th, 3/2. A60528

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234658

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260501

Consider the trajectory of n under the iteration of a map which sends·to 3x - σ(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0. A37159

Index of Mersenne number A000225 that is also Mersenne prime A000668, minus n-th prime: a(n) = A000043(n) - A000040(n). A153801

Number of partitions of n such that neither floor(n/2) nor ceiling(n/2) is a part. A238623

Number of integer partitions of n with unsortable prime factors. A326332