λ
Sequence Observatory

8,441,197

17 × 683 × 727
Deficient Odd Composite

Starting at 8,441,197, the Collatz iteration reaches 1 after 129 steps. The first transition is 25323592; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 683 × 727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,963,136
Proper Divisor Sum 521,939
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8441137 ← → #8441221

Radix Representation

Decimal 8441197
Binary 100000001100110101101101 (24 bits)
Octal 0o40146555
Hexadecimal 0x80CD6D

Divisor Catalog (8)

1 17 683 727 11,611 12,359 496,541 8,441,197

Collatz Trajectory (129 steps to reach 1)

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

8,441,197 25,323,592 12,661,796 6,330,898 3,165,449 9,496,348 4,748,174 2,374,087 7,122,262 3,561,131 10,683,394 5,341,697 16,025,092 8,012,546 4,006,273 12,018,820 6,009,410 3,004,705 9,014,116 4,507,058 2,253,529 6,760,588 3,380,294 1,690,147 5,070,442 2,535,221 7,605,664 3,802,832 1,901,416 950,708 475,354 237,677 713,032 356,516 178,258 89,129 267,388 133,694 66,847 200,542 100,271 300,814 150,407 451,222 225,611 676,834 338,417 1,015,252 507,626 253,813 761,440 380,720 190,360 95,180 47,590 23,795 71,386 35,693 107,080 53,540

More profiles

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