3,022,912

2⁶ × 149 × 317

Starting at 3,022,912, the Collatz iteration reaches 1 after 89 steps. The first transition is 1511456; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 149 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 6,057,900

Proper Divisor Sum 3,034,988

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3022909 ← → #3022933

Radix Representation

Decimal	3022912
Binary	1011100010000001000000 (22 bits)
Octal	0o13420100
Hexadecimal	0x2E2040

Divisor Catalog (28)

1 2 4 8 16 32 64 149 298 317 596 634 1,192 1,268 2,384 2,536 4,768 5,072 9,536 10,144 20,288 47,233 94,466 188,932 377,864 755,728 1,511,456 3,022,912

Collatz Trajectory (89 steps to reach 1)

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

3,022,912 1,511,456 755,728 377,864 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538

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