Properties of the Number 7010

Seven Thousand Ten

Basics

Value: 7009 → 7010 → 7011

Parity: even

Prime: No

Previous Prime: 7001

Next Prime: 7013

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 701

Divisors: 1, 2, 5, 10, 701, 1402, 3505, 7010

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101100010

Octal: 15542

Duodecimal: 4082

Hexadecimal: 1b62

Square: 49140100

Square Root: 83.72574275573791

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

Starts of runs of 3 consecutive Zeckendorf-Niven numbers (A328208). A328210

Number of integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884

Number of partitions of n containing a clique of size 4. A183561

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order. A206761

Array read by antidiagonals: T(n,k) is the number of Hamiltonian cycles in the stacked prism graph P_n X C_k, n >= 1, k >= 2. A359855

G.f. satisfies: A(x) = (1+x·A(x))*(1+x²*A(x))*(1+x³*A(x)). A182053

Number of Hamiltonian cycles in C₆ X P_n. A180582

a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit. A68860

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 78", based on the 5-celled von Neumann neighborhood. A278788