3,097,160

2³ × 5 × 11 × 7039

Starting at 3,097,160, the Collatz iteration reaches 1 after 164 steps. The first transition is 1548580; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 7039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,603,200

Proper Divisor Sum 4,506,040

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3097151 ← → #3097169

Radix Representation

Decimal	3097160
Binary	1011110100001001001000 (22 bits)
Octal	0o13641110
Hexadecimal	0x2F4248

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 7,039 14,078 28,156 35,195 56,312 70,390 77,429 140,780 154,858 281,560 309,716 387,145 619,432 774,290 1,548,580 3,097,160

Collatz Trajectory (164 steps to reach 1)

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

3,097,160 1,548,580 774,290 387,145 1,161,436 580,718 290,359 871,078 435,539 1,306,618 653,309 1,959,928 979,964 489,982 244,991 734,974 367,487 1,102,462 551,231 1,653,694 826,847 2,480,542 1,240,271 3,720,814 1,860,407 5,581,222 2,790,611 8,371,834 4,185,917 12,557,752 6,278,876 3,139,438 1,569,719 4,709,158 2,354,579 7,063,738 3,531,869 10,595,608 5,297,804 2,648,902 1,324,451 3,973,354 1,986,677 5,960,032 2,980,016 1,490,008 745,004 372,502 186,251 558,754 279,377 838,132 419,066 209,533 628,600 314,300 157,150 78,575 235,726 117,863

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