Properties of the Number 2972

Two Thousand Nine Hundred Seventy-Two

Basics

Value: 2971 → 2972 → 2973

Parity: even

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 743

Divisors: 1, 2, 4, 743, 1486, 2972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110011100

Octal: 5634

Duodecimal: 1878

Hexadecimal: b9c

Square: 8832784

Square Root: 54.516052681756044

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

Q-toothpick sequence (see Comments for precise definition). A187210

Expansion of 1/((1-x)²*(1-x²)*(1-x³)). A601

Number of strict integer partitions y of n with no fixed points y(i) = i. A352828

a(n) = ∑_d∣n binomial(n/d+d-2, d-1). A157019

Numbers n such that n·8ⁿ - 1 is prime. A242201

Non-palindromic balanced numbers in base 9. A256089

Indices in A377091 where there is a record upward jump from a negative term to a positive term. A379066

Number of unrooted nonseparable planar maps with n edges and a distinguished face. A87

Riordan array ((1-2·x)/(1-3·x+x²), x/(1-3·x+x²)). A238731

Numbers k such that k¹⁰ is an interprime = average of two successive primes. A75233