8,696,880

2⁴ × 3² × 5 × 47 × 257

Starting at 8,696,880, the Collatz iteration reaches 1 after 212 steps. The first transition is 4348440; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 47 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 29,944,512

Proper Divisor Sum 21,247,632

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8696867 ← → #8696893

Radix Representation

Decimal	8696880
Binary	100001001011010000110000 (24 bits)
Octal	0o41132060
Hexadecimal	0x84B430

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 257 282 360 376 423 470 514 564 705 720 752 771 846 940 1,028 1,128 1,285 1,410 1,542 1,692 1,880 2,056 2,115 2,256 2,313 2,570 2,820

Collatz Trajectory (212 steps to reach 1)

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

8,696,880 4,348,440 2,174,220 1,087,110 543,555 1,630,666 815,333 2,446,000 1,223,000 611,500 305,750 152,875 458,626 229,313 687,940 343,970 171,985 515,956 257,978 128,989 386,968 193,484 96,742 48,371 145,114 72,557 217,672 108,836 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197

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