2,711,164

2² × 677791

2,711,164 factors as 2^2 × 677791. Its 6 positive divisors give a proper-divisor sum of 2,033,380, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2^2 × 677791

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,744,544

Proper Divisor Sum 2,033,380

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2711153 ← → #2711197

Radix Representation

Decimal	2711164
Binary	1010010101111001111100 (22 bits)
Octal	0o12257174
Hexadecimal	0x295E7C

Divisor Catalog (6)

1 2 4 677,791 1,355,582 2,711,164

Collatz Trajectory (249 steps to reach 1)

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

2,711,164 1,355,582 677,791 2,033,374 1,016,687 3,050,062 1,525,031 4,575,094 2,287,547 6,862,642 3,431,321 10,293,964 5,146,982 2,573,491 7,720,474 3,860,237 11,580,712 5,790,356 2,895,178 1,447,589 4,342,768 2,171,384 1,085,692 542,846 271,423 814,270 407,135 1,221,406 610,703 1,832,110 916,055 2,748,166 1,374,083 4,122,250 2,061,125 6,183,376 3,091,688 1,545,844 772,922 386,461 1,159,384 579,692 289,846 144,923 434,770 217,385 652,156 326,078 163,039 489,118 244,559 733,678 366,839 1,100,518 550,259 1,650,778 825,389 2,476,168 1,238,084 619,042

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