λ
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7,101,640

23 × 5 × 7 × 13 × 1951
Abundant Even Composite

7,101,640 factors as 2^3 × 5 × 7 × 13 × 1951. Its 64 positive divisors give a proper-divisor sum of 12,574,520, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13 × 1951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,676,160
Proper Divisor Sum 12,574,520
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7101637 ← → #7101643

Radix Representation

Decimal 7101640
Binary 11011000101110011001000 (23 bits)
Octal 0o33056310
Hexadecimal 0x6C5CC8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1,820 1,951 3,640 3,902 7,804 9,755 13,657 15,608 19,510 25,363 27,314 39,020 50,726 54,628 68,285 78,040 101,452 109,256 126,815 136,570 177,541 202,904 253,630 273,140 355,082 507,260 546,280 710,164 887,705 1,014,520

Collatz Trajectory (160 steps to reach 1)

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

7,101,640 3,550,820 1,775,410 887,705 2,663,116 1,331,558 665,779 1,997,338 998,669 2,996,008 1,498,004 749,002 374,501 1,123,504 561,752 280,876 140,438 70,219 210,658 105,329 315,988 157,994 78,997 236,992 118,496 59,248 29,624 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

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