2,766,684

2² × 3 × 307 × 751

2,766,684 factors as 2^2 × 3 × 307 × 751. Its 24 positive divisors give a proper-divisor sum of 3,718,564, so this integer is abundant. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 307 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,485,248

Proper Divisor Sum 3,718,564

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2766679 ← → #2766691

Radix Representation

Decimal	2766684
Binary	1010100011011101011100 (22 bits)
Octal	0o12433534
Hexadecimal	0x2A375C

Divisor Catalog (24)

1 2 3 4 6 12 307 614 751 921 1,228 1,502 1,842 2,253 3,004 3,684 4,506 9,012 230,557 461,114 691,671 922,228 1,383,342 2,766,684

Collatz Trajectory (275 steps to reach 1)

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

2,766,684 1,383,342 691,671 2,075,014 1,037,507 3,112,522 1,556,261 4,668,784 2,334,392 1,167,196 583,598 291,799 875,398 437,699 1,313,098 656,549 1,969,648 984,824 492,412 246,206 123,103 369,310 184,655 553,966 276,983 830,950 415,475 1,246,426 623,213 1,869,640 934,820 467,410 233,705 701,116 350,558 175,279 525,838 262,919 788,758 394,379 1,183,138 591,569 1,774,708 887,354 443,677 1,331,032 665,516 332,758 166,379 499,138 249,569 748,708 374,354 187,177 561,532 280,766 140,383 421,150 210,575 631,726

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