Properties of the Number 7929

Seven Thousand Nine Hundred Twenty-Nine

Basics

Value: 7928 → 7929 → 7930

Parity: odd

Prime: No

Previous Prime: 7927

Next Prime: 7933

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 881

Divisors: 1, 3, 9, 881, 2643, 7929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1111011111001

Octal: 17371

Duodecimal: 4709

Hexadecimal: 1ef9

Square: 62869041

Square Root: 89.04493247793498

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

a(n) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222430

A054525·A156348 * [1,2,3,...]. A156833

a(n) = ∑_i=0..n digsum₆(i)⁴, where digsum₆(i) = A053827(i). A231675

a(n) = ∑_i=0..n digsum₇(i)⁴, where digsum₇(i) = A053828(i). A231679

Numbers n=2·k-1 where ∑_j=1..k (-1)^j+1 * d(2·j-1) achieves a new record, with d(n) = number of divisors of n (A000005). A318737

Numbers k for which the 3-adic valuations of k and σ(k) are equal, and that also satisfy Euler's criterion for odd perfect numbers (see A228058). A349755

G.f.: A(x) = (1 + 21·x + 3·x² - x³)/(1-x)⁵. A183066

Numbers n such that n¹+n+1, n²+n+1, n³+n+1 and n⁴+n+1 are all prime. A219117

Terms k of A228058 such that gcd(k - A048250(k), A162296(k) - k) = A162296(k) - k. A325376