792,228

2² × 3 × 107 × 617

792,228 factors as 2^2 × 3 × 107 × 617. Its 24 positive divisors give a proper-divisor sum of 1,076,604, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 107 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,868,832

Proper Divisor Sum 1,076,604

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #792227 ← → #792229

Radix Representation

Decimal	792228
Binary	11000001011010100100 (20 bits)
Octal	0o3013244
Hexadecimal	0xC16A4

Divisor Catalog (24)

Collatz Trajectory (74 steps to reach 1)

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

792,228 396,114 198,057 594,172 297,086 148,543 445,630 222,815 668,446 334,223 1,002,670 501,335 1,504,006 752,003 2,256,010 1,128,005 3,384,016 1,692,008 846,004 423,002 211,501 634,504 317,252 158,626 79,313 237,940 118,970 59,485 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140

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