2,726,522

2 × 29² × 1621

2,726,522 factors as 2 × 29^2 × 1621. Its 12 positive divisors give a proper-divisor sum of 1,511,764, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 1621

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,238,286

Proper Divisor Sum 1,511,764

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2726509 ← → #2726561

Radix Representation

Decimal	2726522
Binary	1010011001101001111010 (22 bits)
Octal	0o12315172
Hexadecimal	0x299A7A

Divisor Catalog (12)

1 2 29 58 841 1,621 1,682 3,242 47,009 94,018 1,363,261 2,726,522

Collatz Trajectory (107 steps to reach 1)

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

2,726,522 1,363,261 4,089,784 2,044,892 1,022,446 511,223 1,533,670 766,835 2,300,506 1,150,253 3,450,760 1,725,380 862,690 431,345 1,294,036 647,018 323,509 970,528 485,264 242,632 121,316 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884

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