λ
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Atlas › Integer Profiles › Node 6,901,230

6,901,230

2 × 3 × 5 × 7 × 59 × 557
Abundant Even Composite

6,901,230 factors as 2 × 3 × 5 × 7 × 59 × 557. Its 64 positive divisors give a proper-divisor sum of 12,383,250, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 59 × 557
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,284,480
Proper Divisor Sum 12,383,250
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6901207 ← → #6901241

Radix Representation

Decimal 6901230
Binary 11010010100110111101110 (23 bits)
Octal 0o32246756
Hexadecimal 0x694DEE

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 557 590 826 885 1,114 1,239 1,671 1,770 2,065 2,478 2,785 3,342 3,899 4,130 5,570 6,195 7,798 8,355 11,697 12,390 16,710 19,495 23,394 32,863 38,990 58,485 65,726 98,589 116,970 164,315 197,178 230,041 328,630 460,082 492,945 690,123 985,890 1,150,205

Collatz Trajectory (222 steps to reach 1)

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

6,901,230 3,450,615 10,351,846 5,175,923 15,527,770 7,763,885 23,291,656 11,645,828 5,822,914 2,911,457 8,734,372 4,367,186 2,183,593 6,550,780 3,275,390 1,637,695 4,913,086 2,456,543 7,369,630 3,684,815 11,054,446 5,527,223 16,581,670 8,290,835 24,872,506 12,436,253 37,308,760 18,654,380 9,327,190 4,663,595 13,990,786 6,995,393 20,986,180 10,493,090 5,246,545 15,739,636 7,869,818 3,934,909 11,804,728 5,902,364 2,951,182 1,475,591 4,426,774 2,213,387 6,640,162 3,320,081 9,960,244 4,980,122 2,490,061 7,470,184 3,735,092 1,867,546 933,773 2,801,320 1,400,660 700,330 350,165 1,050,496 525,248 262,624

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