2,857,724

2² × 59 × 12109

2,857,724 factors as 2^2 × 59 × 12109. Its 12 positive divisors give a proper-divisor sum of 2,228,476, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 12109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,086,200

Proper Divisor Sum 2,228,476

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2857721 ← → #2857753

Radix Representation

Decimal	2857724
Binary	1010111001101011111100 (22 bits)
Octal	0o12715374
Hexadecimal	0x2B9AFC

Divisor Catalog (12)

1 2 4 59 118 236 12,109 24,218 48,436 714,431 1,428,862 2,857,724

Collatz Trajectory (200 steps to reach 1)

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

2,857,724 1,428,862 714,431 2,143,294 1,071,647 3,214,942 1,607,471 4,822,414 2,411,207 7,233,622 3,616,811 10,850,434 5,425,217 16,275,652 8,137,826 4,068,913 12,206,740 6,103,370 3,051,685 9,155,056 4,577,528 2,288,764 1,144,382 572,191 1,716,574 858,287 2,574,862 1,287,431 3,862,294 1,931,147 5,793,442 2,896,721 8,690,164 4,345,082 2,172,541 6,517,624 3,258,812 1,629,406 814,703 2,444,110 1,222,055 3,666,166 1,833,083 5,499,250 2,749,625 8,248,876 4,124,438 2,062,219 6,186,658 3,093,329 9,279,988 4,639,994 2,319,997 6,959,992 3,479,996 1,739,998 869,999 2,609,998 1,304,999 3,914,998

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