Properties of the Number 30876

Thirty Thousand Eight Hundred Seventy-Six

Basics

Value: 30875 → 30876 → 30877

Parity: even

Prime: No

Previous Prime: 30871

Next Prime: 30881

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 31 × 83

Divisors: 1, 2, 3, 4, 6, 12, 31, 62, 83, 93

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100010011100

Octal: 74234

Duodecimal: 15A50

Hexadecimal: 789c

Square: 953327376

Square Root: 175.7156794369814

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 integer partitions of n with different mean, median, and mode. A363720

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having four times the sum of any three elements equal to three times the sum of the remaining four. A249197

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having five times the sum of any two elements equal to two times the sum of the remaining five. A249212

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having six times any element equal to the sum of the remaining six. A249319

McKay-Thompson series of class 36D for the Monster simple group. A58647

McKay-Thompson series of class 18C for the Monster group with a(0) = -3. A123676

Expansion of χ(-q³) / χ³(-q) in powers of q where χ() is a Ramanujan θ function. A128128

Expansion of χ(q)³ / χ(q³) in powers of q where χ() is a Ramanujan θ function. A132972

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

Expansion of (φ(q³) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A261320