λ
Sequence Observatory

4,129,199

4129199
Deficient Odd Prime

Starting at 4,129,199, the Collatz iteration reaches 1 after 136 steps. The first transition is 12387598; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4129199
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,129,200
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4129189 ← → #4129241

Radix Representation

Decimal 4129199
Binary 1111110000000110101111 (22 bits)
Octal 0o17600657
Hexadecimal 0x3F01AF

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,129,199 12,387,598 6,193,799 18,581,398 9,290,699 27,872,098 13,936,049 41,808,148 20,904,074 10,452,037 31,356,112 15,678,056 7,839,028 3,919,514 1,959,757 5,879,272 2,939,636 1,469,818 734,909 2,204,728 1,102,364 551,182 275,591 826,774 413,387 1,240,162 620,081 1,860,244 930,122 465,061 1,395,184 697,592 348,796 174,398 87,199 261,598 130,799 392,398 196,199 588,598 294,299 882,898 441,449 1,324,348 662,174 331,087 993,262 496,631 1,489,894 744,947 2,234,842 1,117,421 3,352,264 1,676,132 838,066 419,033 1,257,100 628,550 314,275 942,826

More profiles

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