Properties of the Number 30008

Thirty Thousand Eight

Basics

Value: 30007 → 30008 → 30009

Parity: even

Prime: No

Previous Prime: 29989

Next Prime: 30011

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 11 ² × 31

Divisors: 1, 2, 4, 8, 11, 22, 31, 44, 62, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010100111000

Octal: 72470

Duodecimal: 15448

Hexadecimal: 7538

Square: 900480064

Square Root: 173.22817322825983

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 partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

a(n) = 1² + prime(1)² + prime(2)² + ... + prime(n)². A24525

a(n) = ∑_d∣n σ(d)³. A344044

Number of partitions of n such that 2*(least part) < number of parts. A237758

Numbers with digit sum 11 that are multiples of 11. A283742

a(n) = (n-5)*(n-6)*(n-7)*(n-16)/24. A167543

Numbers that are values of the totient function (A002202) but not of the reduced totient function (A002174). A270265

a(n) = round(n*φ¹⁵), where φ is the golden ratio, A001622. A4950