3,069,624

2³ × 3 × 79 × 1619

Starting at 3,069,624, the Collatz iteration reaches 1 after 151 steps. The first transition is 1534812; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 79 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,776,000

Proper Divisor Sum 4,706,376

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3069623 ← → #3069637

Radix Representation

Decimal	3069624
Binary	1011101101011010111000 (22 bits)
Octal	0o13553270
Hexadecimal	0x2ED6B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1,619 1,896 3,238 4,857 6,476 9,714 12,952 19,428 38,856 127,901 255,802 383,703 511,604 767,406 1,023,208 1,534,812 3,069,624

Collatz Trajectory (151 steps to reach 1)

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

3,069,624 1,534,812 767,406 383,703 1,151,110 575,555 1,726,666 863,333 2,590,000 1,295,000 647,500 323,750 161,875 485,626 242,813 728,440 364,220 182,110 91,055 273,166 136,583 409,750 204,875 614,626 307,313 921,940 460,970 230,485 691,456 345,728 172,864 86,432 43,216 21,608 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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