7,129,192

2³ × 7 × 61 × 2087

7,129,192 factors as 2^3 × 7 × 61 × 2087. Its 32 positive divisors give a proper-divisor sum of 8,405,528, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,534,720

Proper Divisor Sum 8,405,528

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7129183 ← → #7129207

Radix Representation

Decimal	7129192
Binary	11011001100100001101000 (23 bits)
Octal	0o33144150
Hexadecimal	0x6CC868

Divisor Catalog (32)

Collatz Trajectory (72 steps to reach 1)

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

7,129,192 3,564,596 1,782,298 891,149 2,673,448 1,336,724 668,362 334,181 1,002,544 501,272 250,636 125,318 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 70 35

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