7,638,817

19 × 402043

Starting at 7,638,817, the Collatz iteration reaches 1 after 124 steps. The first transition is 22916452; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 19 × 402043

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,040,880

Proper Divisor Sum 402,063

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7638791 ← → #7638823

Radix Representation

Decimal	7638817
Binary	11101001000111100100001 (23 bits)
Octal	0o35107441
Hexadecimal	0x748F21

Divisor Catalog (4)

1 19 402,043 7,638,817

Collatz Trajectory (124 steps to reach 1)

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

7,638,817 22,916,452 11,458,226 5,729,113 17,187,340 8,593,670 4,296,835 12,890,506 6,445,253 19,335,760 9,667,880 4,833,940 2,416,970 1,208,485 3,625,456 1,812,728 906,364 453,182 226,591 679,774 339,887 1,019,662 509,831 1,529,494 764,747 2,294,242 1,147,121 3,441,364 1,720,682 860,341 2,581,024 1,290,512 645,256 322,628 161,314 80,657 241,972 120,986 60,493 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346

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