Properties of the Number 30696

Thirty Thousand Six Hundred Ninety-Six

Basics

Value: 30695 → 30696 → 30697

Parity: even

Prime: No

Previous Prime: 30689

Next Prime: 30697

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1279

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1279, 2558

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011111101000

Octal: 73750

Duodecimal: 15920

Hexadecimal: 77e8

Square: 942244416

Square Root: 175.20273970460622

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

Number of equilateral triangles with coordinates (x,y,z) in the set {0, 1,...,n}. A102698

Number of integer partitions whose sum of primes of parts equals their sum of parts plus n. A331387

a(n) = 1728·n - 408. A157266

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 9, n >= 2. A214042

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) / (1-x)⁷. A162595

Number of partitions of n that do not contain 1 as a part and whose parts are not the same divisor of n. A167928

Number of (6+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253703

Numbers k whose decimal representation can be split in three parts which can be used as seeds for a tribonacci-like sequence containing k itself. A383230

Cube root of A030695. A30696

T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, vertically, diagonally or antidiagonally, and no adjacent values equal. A232275