2,202,597

3² × 244733

Starting at 2,202,597, the Collatz iteration reaches 1 after 179 steps. The first transition is 6607792; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 244733

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,181,542

Proper Divisor Sum 978,945

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2202587 ← → #2202601

Radix Representation

Decimal	2202597
Binary	1000011001101111100101 (22 bits)
Octal	0o10315745
Hexadecimal	0x219BE5

Divisor Catalog (6)

1 3 9 244,733 734,199 2,202,597

Collatz Trajectory (179 steps to reach 1)

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

2,202,597 6,607,792 3,303,896 1,651,948 825,974 412,987 1,238,962 619,481 1,858,444 929,222 464,611 1,393,834 696,917 2,090,752 1,045,376 522,688 261,344 130,672 65,336 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330

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