7,998,688

2⁵ × 43 × 5813

Starting at 7,998,688, the Collatz iteration reaches 1 after 186 steps. The first transition is 3999344; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 43 × 5813

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,116,408

Proper Divisor Sum 8,117,720

Digit Sum / Digital Root 55 (Root: 1)

Adjacent Primes #7998673 ← → #7998691

Radix Representation

Decimal	7998688
Binary	11110100000110011100000 (23 bits)
Octal	0o36406340
Hexadecimal	0x7A0CE0

Divisor Catalog (24)

1 2 4 8 16 32 43 86 172 344 688 1,376 5,813 11,626 23,252 46,504 93,008 186,016 249,959 499,918 999,836 1,999,672 3,999,344 7,998,688

Collatz Trajectory (186 steps to reach 1)

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

7,998,688 3,999,344 1,999,672 999,836 499,918 249,959 749,878 374,939 1,124,818 562,409 1,687,228 843,614 421,807 1,265,422 632,711 1,898,134 949,067 2,847,202 1,423,601 4,270,804 2,135,402 1,067,701 3,203,104 1,601,552 800,776 400,388 200,194 100,097 300,292 150,146 75,073 225,220 112,610 56,305 168,916 84,458 42,229 126,688 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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