7,627,317

3 × 71 × 35809

Starting at 7,627,317, the Collatz iteration reaches 1 after 173 steps. The first transition is 22881952; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 71 × 35809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,313,280

Proper Divisor Sum 2,685,963

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7627309 ← → #7627327

Radix Representation

Decimal	7627317
Binary	11101000110001000110101 (23 bits)
Octal	0o35061065
Hexadecimal	0x746235

Divisor Catalog (8)

1 3 71 213 35,809 107,427 2,542,439 7,627,317

Collatz Trajectory (173 steps to reach 1)

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

7,627,317 22,881,952 11,440,976 5,720,488 2,860,244 1,430,122 715,061 2,145,184 1,072,592 536,296 268,148 134,074 67,037 201,112 100,556 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

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