8,140,860

2² × 3² × 5 × 7² × 13 × 71

Starting at 8,140,860, the Collatz iteration reaches 1 after 93 steps. The first transition is 4070430; the starting value is even with 216 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7^2 × 13 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 31,370,976

Proper Divisor Sum 23,230,116

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8140849 ← → #8140897

Radix Representation

Decimal	8140860
Binary	11111000011100000111100 (23 bits)
Octal	0o37034074
Hexadecimal	0x7C383C

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 49 52 60 63 65 70 71 78 84 90 91 98 105 117 126 130 140 142 147 156 180 182 195 196 210 213 234 245 252 260 273 284 294 315 355 364

Collatz Trajectory (93 steps to reach 1)

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

8,140,860 4,070,430 2,035,215 6,105,646 3,052,823 9,158,470 4,579,235 13,737,706 6,868,853 20,606,560 10,303,280 5,151,640 2,575,820 1,287,910 643,955 1,931,866 965,933 2,897,800 1,448,900 724,450 362,225 1,086,676 543,338 271,669 815,008 407,504 203,752 101,876 50,938 25,469 76,408 38,204 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608

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