2,809,807

7² × 11 × 13 × 401

2,809,807 factors as 7^2 × 11 × 13 × 401. Its 24 positive divisors give a proper-divisor sum of 1,039,745, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 13 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,849,552

Proper Divisor Sum 1,039,745

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2809787 ← → #2809813

Radix Representation

Decimal	2809807
Binary	1010101101111111001111 (22 bits)
Octal	0o12557717
Hexadecimal	0x2ADFCF

Divisor Catalog (24)

1 7 11 13 49 77 91 143 401 539 637 1,001 2,807 4,411 5,213 7,007 19,649 30,877 36,491 57,343 216,139 255,437 401,401 2,809,807

Collatz Trajectory (107 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,809,807 8,429,422 4,214,711 12,644,134 6,322,067 18,966,202 9,483,101 28,449,304 14,224,652 7,112,326 3,556,163 10,668,490 5,334,245 16,002,736 8,001,368 4,000,684 2,000,342 1,000,171 3,000,514 1,500,257 4,500,772 2,250,386 1,125,193 3,375,580 1,687,790 843,895 2,531,686 1,265,843 3,797,530 1,898,765 5,696,296 2,848,148 1,424,074 712,037 2,136,112 1,068,056 534,028 267,014 133,507 400,522 200,261 600,784 300,392 150,196 75,098 37,549 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824

← Previous Integer #2,809,806 Browse Full Index Next Integer #2,809,808 →