Properties of the Number 7045

Seven Thousand Forty-Five

Basics

Value: 7044 → 7045 → 7046

Parity: odd

Prime: No

Previous Prime: 7043

Next Prime: 7057

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 1409

Divisors: 1, 5, 1409, 7045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110000101

Octal: 15605

Duodecimal: 40B1

Hexadecimal: 1b85

Square: 49632025

Square Root: 83.93449827097318

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

Square table, read by antidiagonals, where the g.f. for row n+1 is generated by: x·R_n+1(x) = (1+n·x - 1/R_n(x))/(n+1) with R₀(x) = ∑_n>=0 n!*xⁿ. A111528

Row 5 of table A111528. A111532

Composite squarefree numbers n such that p + τ(n) divides n - φ(n), where p are the prime factors of n, τ(n) = A000005(n) and φ(n) = A000010(n). A229324

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Main diagonal of table A111528. A111534

Number of n X 2 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4. A196316

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,2,1,2 for x=0,1,2,3,4. A197342

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300888

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in eight or more ways. A345601