Properties of the Number 30864

Thirty Thousand Eight Hundred Sixty-Four

Basics

Value: 30863 → 30864 → 30865

Parity: even

Prime: No

Previous Prime: 30859

Next Prime: 30869

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 643

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111100010010000

Octal: 74220

Duodecimal: 15A40

Hexadecimal: 7890

Square: 952586496

Square Root: 175.681530047982

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 integer m > 0 with π(m·n) = σ(m), where σ(m) is the sum of all positive divisors of m. A247603

Polylogarithm li(-n,-1/7) multiplied by (8ⁿ⁺¹)/7. A213130

Fibonacci sequence beginning 7, 15. A22389

Number of partitions of n whose least part is a multiple of 3. A363094

Sum over all partitions of n of the number of elements with minimal multiplicity in their partition. A372632

Concatenation of first n terms of A109855 divided by n. A109856

Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253691

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood. A270292

a(n) = n! * ∑_k=0..n-1 4^k / k!. A348314

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698