λ
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4,173,610

2 × 5 × 7 × 109 × 547
Abundant Even Composite

4,173,610 factors as 2 × 5 × 7 × 109 × 547. Its 32 positive divisors give a proper-divisor sum of 4,506,710, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 109 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,680,320
Proper Divisor Sum 4,506,710
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4173607 ← → #4173613

Radix Representation

Decimal 4173610
Binary 1111111010111100101010 (22 bits)
Octal 0o17727452
Hexadecimal 0x3FAF2A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 109 218 545 547 763 1,090 1,094 1,526 2,735 3,815 3,829 5,470 7,630 7,658 19,145 38,290 59,623 119,246 298,115 417,361 596,230 834,722 2,086,805 4,173,610

Collatz Trajectory (198 steps to reach 1)

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

4,173,610 2,086,805 6,260,416 3,130,208 1,565,104 782,552 391,276 195,638 97,819 293,458 146,729 440,188 220,094 110,047 330,142 165,071 495,214 247,607 742,822 371,411 1,114,234 557,117 1,671,352 835,676 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477

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