Properties of the Number 7072

Seven Thousand Seventy-Two

Basics

Value: 7071 → 7072 → 7073

Parity: even

Prime: No

Previous Prime: 7069

Next Prime: 7079

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 13 × 17

Divisors: 1, 2, 4, 8, 13, 16, 17, 26, 32, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110100000

Octal: 15640

Duodecimal: 4114

Hexadecimal: 1ba0

Square: 50013184

Square Root: 84.09518416651456

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

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

Fourth convolution of Catalan numbers: a(n) = 4·binomial(2·n+3,n)/(n+4). A2057

Triangle formed from odd-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle. A39598

Catalan's triangle with right border removed (n > 0, 0 <= k < n). A30237

Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213

Heinz numbers of integer partitions where every partial run (consecutive constant subsequence) has a different sum, and these sums include every integer from 0 to the greatest part. A353867

Number of integer partitions y of n such that y_i = y_i+1 for all even i. A351003

Riordan array (1,c(-x)), where c(x) = g.f. of Catalan numbers. A99039

a(n) = (n+1)*(n+3)*(n+8)/6. A297

G.f. satisfies A(x) = 1 + x·A(x)² + x²*A(x)⁴ + x³*A(x)⁶. A186241