3,102,024

2³ × 3 × 17 × 7603

3,102,024 factors as 2^3 × 3 × 17 × 7603. Its 32 positive divisors give a proper-divisor sum of 5,110,296, so this integer is abundant. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 7603

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,212,320

Proper Divisor Sum 5,110,296

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3102023 ← → #3102059

Radix Representation

Decimal	3102024
Binary	1011110101010101001000 (22 bits)
Octal	0o13652510
Hexadecimal	0x2F5548

Divisor Catalog (32)

Collatz Trajectory (301 steps to reach 1)

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

3,102,024 1,551,012 775,506 387,753 1,163,260 581,630 290,815 872,446 436,223 1,308,670 654,335 1,963,006 981,503 2,944,510 1,472,255 4,416,766 2,208,383 6,625,150 3,312,575 9,937,726 4,968,863 14,906,590 7,453,295 22,359,886 11,179,943 33,539,830 16,769,915 50,309,746 25,154,873 75,464,620 37,732,310 18,866,155 56,598,466 28,299,233 84,897,700 42,448,850 21,224,425 63,673,276 31,836,638 15,918,319 47,754,958 23,877,479 71,632,438 35,816,219 107,448,658 53,724,329 161,172,988 80,586,494 40,293,247 120,879,742 60,439,871 181,319,614 90,659,807 271,979,422 135,989,711 407,969,134 203,984,567 611,953,702 305,976,851 917,930,554

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