7,687,627

7687627

Starting at 7,687,627, the Collatz iteration reaches 1 after 129 steps. The first transition is 23062882; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7687627

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,687,628

Proper Divisor Sum 1

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7687619 ← → #7687637

Radix Representation

Decimal	7687627
Binary	11101010100110111001011 (23 bits)
Octal	0o35246713
Hexadecimal	0x754DCB

Divisor Catalog (2)

1 7,687,627

Collatz Trajectory (129 steps to reach 1)

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

7,687,627 23,062,882 11,531,441 34,594,324 17,297,162 8,648,581 25,945,744 12,972,872 6,486,436 3,243,218 1,621,609 4,864,828 2,432,414 1,216,207 3,648,622 1,824,311 5,472,934 2,736,467 8,209,402 4,104,701 12,314,104 6,157,052 3,078,526 1,539,263 4,617,790 2,308,895 6,926,686 3,463,343 10,390,030 5,195,015 15,585,046 7,792,523 23,377,570 11,688,785 35,066,356 17,533,178 8,766,589 26,299,768 13,149,884 6,574,942 3,287,471 9,862,414 4,931,207 14,793,622 7,396,811 22,190,434 11,095,217 33,285,652 16,642,826 8,321,413 24,964,240 12,482,120 6,241,060 3,120,530 1,560,265 4,680,796 2,340,398 1,170,199 3,510,598 1,755,299

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