7,818,018

2 × 3 × 13 × 113 × 887

Starting at 7,818,018, the Collatz iteration reaches 1 after 142 steps. The first transition is 3909009; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 113 × 887

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,006,976

Proper Divisor Sum 9,188,958

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7818001 ← → #7818037

Radix Representation

Decimal	7818018
Binary	11101110100101100100010 (23 bits)
Octal	0o35645442
Hexadecimal	0x774B22

Divisor Catalog (32)

1 2 3 6 13 26 39 78 113 226 339 678 887 1,469 1,774 2,661 2,938 4,407 5,322 8,814 11,531 23,062 34,593 69,186 100,231 200,462 300,693 601,386 1,303,003 2,606,006 3,909,009 7,818,018

Collatz Trajectory (142 steps to reach 1)

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

7,818,018 3,909,009 11,727,028 5,863,514 2,931,757 8,795,272 4,397,636 2,198,818 1,099,409 3,298,228 1,649,114 824,557 2,473,672 1,236,836 618,418 309,209 927,628 463,814 231,907 695,722 347,861 1,043,584 521,792 260,896 130,448 65,224 32,612 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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