1,166,332

2² × 43 × 6781

Starting at 1,166,332, the Collatz iteration reaches 1 after 152 steps. The first transition is 583166; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 6781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,088,856

Proper Divisor Sum 922,524

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1166329 ← → #1166359

Radix Representation

Decimal	1166332
Binary	100011100101111111100 (21 bits)
Octal	0o4345774
Hexadecimal	0x11CBFC

Divisor Catalog (12)

1 2 4 43 86 172 6,781 13,562 27,124 291,583 583,166 1,166,332

Collatz Trajectory (152 steps to reach 1)

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

1,166,332 583,166 291,583 874,750 437,375 1,312,126 656,063 1,968,190 984,095 2,952,286 1,476,143 4,428,430 2,214,215 6,642,646 3,321,323 9,963,970 4,981,985 14,945,956 7,472,978 3,736,489 11,209,468 5,604,734 2,802,367 8,407,102 4,203,551 12,610,654 6,305,327 18,915,982 9,457,991 28,373,974 14,186,987 42,560,962 21,280,481 63,841,444 31,920,722 15,960,361 47,881,084 23,940,542 11,970,271 35,910,814 17,955,407 53,866,222 26,933,111 80,799,334 40,399,667 121,199,002 60,599,501 181,798,504 90,899,252 45,449,626 22,724,813 68,174,440 34,087,220 17,043,610 8,521,805 25,565,416 12,782,708 6,391,354 3,195,677 9,587,032

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