7,729,644

2² × 3 × 13 × 49549

7,729,644 factors as 2^2 × 3 × 13 × 49549. Its 24 positive divisors give a proper-divisor sum of 11,693,956, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 49549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,423,600

Proper Divisor Sum 11,693,956

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7729643 ← → #7729661

Radix Representation

Decimal	7729644
Binary	11101011111000111101100 (23 bits)
Octal	0o35370754
Hexadecimal	0x75F1EC

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 49,549 99,098 148,647 198,196 297,294 594,588 644,137 1,288,274 1,932,411 2,576,548 3,864,822 7,729,644

Collatz Trajectory (124 steps to reach 1)

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

7,729,644 3,864,822 1,932,411 5,797,234 2,898,617 8,695,852 4,347,926 2,173,963 6,521,890 3,260,945 9,782,836 4,891,418 2,445,709 7,337,128 3,668,564 1,834,282 917,141 2,751,424 1,375,712 687,856 343,928 171,964 85,982 42,991 128,974 64,487 193,462 96,731 290,194 145,097 435,292 217,646 108,823 326,470 163,235 489,706 244,853 734,560 367,280 183,640 91,820 45,910 22,955 68,866 34,433 103,300 51,650 25,825 77,476 38,738 19,369 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031

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