8,055,759

3 × 1361 × 1973

Starting at 8,055,759, the Collatz iteration reaches 1 after 186 steps. The first transition is 24167278; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1361 × 1973

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,754,352

Proper Divisor Sum 2,698,593

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8055713 ← → #8055779

Radix Representation

Decimal	8055759
Binary	11110101110101111001111 (23 bits)
Octal	0o36565717
Hexadecimal	0x7AEBCF

Divisor Catalog (8)

1 3 1,361 1,973 4,083 5,919 2,685,253 8,055,759

Collatz Trajectory (186 steps to reach 1)

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

8,055,759 24,167,278 12,083,639 36,250,918 18,125,459 54,376,378 27,188,189 81,564,568 40,782,284 20,391,142 10,195,571 30,586,714 15,293,357 45,880,072 22,940,036 11,470,018 5,735,009 17,205,028 8,602,514 4,301,257 12,903,772 6,451,886 3,225,943 9,677,830 4,838,915 14,516,746 7,258,373 21,775,120 10,887,560 5,443,780 2,721,890 1,360,945 4,082,836 2,041,418 1,020,709 3,062,128 1,531,064 765,532 382,766 191,383 574,150 287,075 861,226 430,613 1,291,840 645,920 322,960 161,480 80,740 40,370 20,185 60,556 30,278 15,139 45,418 22,709 68,128 34,064 17,032 8,516

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