7,995,820

2² × 5 × 7² × 41 × 199

Starting at 7,995,820, the Collatz iteration reaches 1 after 116 steps. The first transition is 3997910; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 41 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,109,600

Proper Divisor Sum 12,113,780

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7995817 ← → #7995821

Radix Representation

Decimal	7995820
Binary	11110100000000110101100 (23 bits)
Octal	0o36400654
Hexadecimal	0x7A01AC

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 199 205 245 287 398 410 490 574 796 820 980 995 1,148 1,393 1,435 1,990 2,009 2,786 2,870 3,980 4,018 5,572 5,740 6,965 8,036 8,159 9,751 10,045 13,930 16,318 19,502 20,090 27,860 32,636 39,004 40,180 40,795 48,755 57,113 81,590 97,510 114,226

Collatz Trajectory (116 steps to reach 1)

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

7,995,820 3,997,910 1,998,955 5,996,866 2,998,433 8,995,300 4,497,650 2,248,825 6,746,476 3,373,238 1,686,619 5,059,858 2,529,929 7,589,788 3,794,894 1,897,447 5,692,342 2,846,171 8,538,514 4,269,257 12,807,772 6,403,886 3,201,943 9,605,830 4,802,915 14,408,746 7,204,373 21,613,120 10,806,560 5,403,280 2,701,640 1,350,820 675,410 337,705 1,013,116 506,558 253,279 759,838 379,919 1,139,758 569,879 1,709,638 854,819 2,564,458 1,282,229 3,846,688 1,923,344 961,672 480,836 240,418 120,209 360,628 180,314 90,157 270,472 135,236 67,618 33,809 101,428 50,714

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