2,739,212

2² × 7 × 97829

2,739,212 factors as 2^2 × 7 × 97829. Its 12 positive divisors give a proper-divisor sum of 2,739,268, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 97829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,478,480

Proper Divisor Sum 2,739,268

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2739203 ← → #2739223

Radix Representation

Decimal	2739212
Binary	1010011100110000001100 (22 bits)
Octal	0o12346014
Hexadecimal	0x29CC0C

Divisor Catalog (12)

1 2 4 7 14 28 97,829 195,658 391,316 684,803 1,369,606 2,739,212

Collatz Trajectory (200 steps to reach 1)

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

2,739,212 1,369,606 684,803 2,054,410 1,027,205 3,081,616 1,540,808 770,404 385,202 192,601 577,804 288,902 144,451 433,354 216,677 650,032 325,016 162,508 81,254 40,627 121,882 60,941 182,824 91,412 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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