1,075,227

3 × 23 × 15583

Starting at 1,075,227, the Collatz iteration reaches 1 after 77 steps. The first transition is 3225682; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 15583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,496,064

Proper Divisor Sum 420,837

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1075201 ← → #1075231

Radix Representation

Decimal	1075227
Binary	100000110100000011011 (21 bits)
Octal	0o4064033
Hexadecimal	0x10681B

Divisor Catalog (8)

1 3 23 69 15,583 46,749 358,409 1,075,227

Collatz Trajectory (77 steps to reach 1)

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

1,075,227 3,225,682 1,612,841 4,838,524 2,419,262 1,209,631 3,628,894 1,814,447 5,443,342 2,721,671 8,165,014 4,082,507 12,247,522 6,123,761 18,371,284 9,185,642 4,592,821 13,778,464 6,889,232 3,444,616 1,722,308 861,154 430,577 1,291,732 645,866 322,933 968,800 484,400 242,200 121,100 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824

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