3,129,705

3³ × 5 × 97 × 239

3,129,705 factors as 3^3 × 5 × 97 × 239. Its 32 positive divisors give a proper-divisor sum of 2,515,095, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 97 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,644,800

Proper Divisor Sum 2,515,095

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3129701 ← → #3129733

Radix Representation

Decimal	3129705
Binary	1011111100000101101001 (22 bits)
Octal	0o13740551
Hexadecimal	0x2FC169

Divisor Catalog (32)

Collatz Trajectory (133 steps to reach 1)

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

3,129,705 9,389,116 4,694,558 2,347,279 7,041,838 3,520,919 10,562,758 5,281,379 15,844,138 7,922,069 23,766,208 11,883,104 5,941,552 2,970,776 1,485,388 742,694 371,347 1,114,042 557,021 1,671,064 835,532 417,766 208,883 626,650 313,325 939,976 469,988 234,994 117,497 352,492 176,246 88,123 264,370 132,185 396,556 198,278 99,139 297,418 148,709 446,128 223,064 111,532 55,766 27,883 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110

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