792,129

3 × 13 × 19 × 1069

792,129 has digital root 3. The neighboring primes are 792119 and 792131; its proper-divisor sum differs from the starting integer by -385,858.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,198,400

Proper Divisor Sum 406,271

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #792119 ← → #792131

Radix Representation

Decimal	792129
Binary	11000001011001000001 (20 bits)
Octal	0o3013101
Hexadecimal	0xC1641

Divisor Catalog (16)

1 3 13 19 39 57 247 741 1,069 3,207 13,897 20,311 41,691 60,933 264,043 792,129

Collatz Trajectory (74 steps to reach 1)

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

792,129 2,376,388 1,188,194 594,097 1,782,292 891,146 445,573 1,336,720 668,360 334,180 167,090 83,545 250,636 125,318 62,659 187,978 93,989 281,968 140,984 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 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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