4,152,999

3 × 787 × 1759

Starting at 4,152,999, the Collatz iteration reaches 1 after 198 steps. The first transition is 12458998; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 787 × 1759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,547,520

Proper Divisor Sum 1,394,521

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4152997 ← → #4153021

Radix Representation

Decimal	4152999
Binary	1111110101111010100111 (22 bits)
Octal	0o17657247
Hexadecimal	0x3F5EA7

Divisor Catalog (8)

1 3 787 1,759 2,361 5,277 1,384,333 4,152,999

Collatz Trajectory (198 steps to reach 1)

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

4,152,999 12,458,998 6,229,499 18,688,498 9,344,249 28,032,748 14,016,374 7,008,187 21,024,562 10,512,281 31,536,844 15,768,422 7,884,211 23,652,634 11,826,317 35,478,952 17,739,476 8,869,738 4,434,869 13,304,608 6,652,304 3,326,152 1,663,076 831,538 415,769 1,247,308 623,654 311,827 935,482 467,741 1,403,224 701,612 350,806 175,403 526,210 263,105 789,316 394,658 197,329 591,988 295,994 147,997 443,992 221,996 110,998 55,499 166,498 83,249 249,748 124,874 62,437 187,312 93,656 46,828 23,414 11,707 35,122 17,561 52,684 26,342

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