8,360,742

2 × 3 × 13 × 37 × 2897

Starting at 8,360,742, the Collatz iteration reaches 1 after 199 steps. The first transition is 4180371; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 37 × 2897

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,500,832

Proper Divisor Sum 10,140,090

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8360717 ← → #8360743

Radix Representation

Decimal	8360742
Binary	11111111001001100100110 (23 bits)
Octal	0o37711446
Hexadecimal	0x7F9326

Divisor Catalog (32)

1 2 3 6 13 26 37 39 74 78 111 222 481 962 1,443 2,886 2,897 5,794 8,691 17,382 37,661 75,322 107,189 112,983 214,378 225,966 321,567 643,134 1,393,457 2,786,914 4,180,371 8,360,742

Collatz Trajectory (199 steps to reach 1)

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

8,360,742 4,180,371 12,541,114 6,270,557 18,811,672 9,405,836 4,702,918 2,351,459 7,054,378 3,527,189 10,581,568 5,290,784 2,645,392 1,322,696 661,348 330,674 165,337 496,012 248,006 124,003 372,010 186,005 558,016 279,008 139,504 69,752 34,876 17,438 8,719 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475

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