Properties of the Number 99964

Ninety-Nine Thousand Nine Hundred Sixty-Four

Basics

Value: 99963 → 99964 → 99965

Parity: even

Prime: No

Previous Prime: 99961

Next Prime: 99971

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 67 × 373

Divisors: 1, 2, 4, 67, 134, 268, 373, 746, 1492, 24991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000011001111100

Octal: 303174

Duodecimal: 49A24

Hexadecimal: 1867c

Square: 9992801296

Square Root: 316.17083989514276

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

T(n,k)=Number of nXk 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231382

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=-2 and l=0. A177113

a(n) is the smallest positive integer of length (distance from origin) n in the Cayley graph of the integers generated by all powers of 13. A297182

Number of n X 3 0..1 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231377

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: The n-th row is constructed by forming the partial sums of the previous row, reading from the right and if n is a triangular number repeating the final term. A99964

Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases. A206322