7,998,871

23 × 457 × 761

Starting at 7,998,871, the Collatz iteration reaches 1 after 186 steps. The first transition is 23996614; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 457 × 761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,375,904

Proper Divisor Sum 377,033

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #7998863 ← → #7998937

Radix Representation

Decimal	7998871
Binary	11110100000110110010111 (23 bits)
Octal	0o36406627
Hexadecimal	0x7A0D97

Divisor Catalog (8)

1 23 457 761 10,511 17,503 347,777 7,998,871

Collatz Trajectory (186 steps to reach 1)

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

7,998,871 23,996,614 11,998,307 35,994,922 17,997,461 53,992,384 26,996,192 13,498,096 6,749,048 3,374,524 1,687,262 843,631 2,530,894 1,265,447 3,796,342 1,898,171 5,694,514 2,847,257 8,541,772 4,270,886 2,135,443 6,406,330 3,203,165 9,609,496 4,804,748 2,402,374 1,201,187 3,603,562 1,801,781 5,405,344 2,702,672 1,351,336 675,668 337,834 168,917 506,752 253,376 126,688 63,344 31,672 15,836 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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