1,080,167

11² × 79 × 113

Starting at 1,080,167, the Collatz iteration reaches 1 after 201 steps. The first transition is 3240502; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 79 × 113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,212,960

Proper Divisor Sum 132,793

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1080143 ← → #1080173

Radix Representation

Decimal	1080167
Binary	100000111101101100111 (21 bits)
Octal	0o4075547
Hexadecimal	0x107B67

Divisor Catalog (12)

1 11 79 113 121 869 1,243 8,927 9,559 13,673 98,197 1,080,167

Collatz Trajectory (201 steps to reach 1)

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

1,080,167 3,240,502 1,620,251 4,860,754 2,430,377 7,291,132 3,645,566 1,822,783 5,468,350 2,734,175 8,202,526 4,101,263 12,303,790 6,151,895 18,455,686 9,227,843 27,683,530 13,841,765 41,525,296 20,762,648 10,381,324 5,190,662 2,595,331 7,785,994 3,892,997 11,678,992 5,839,496 2,919,748 1,459,874 729,937 2,189,812 1,094,906 547,453 1,642,360 821,180 410,590 205,295 615,886 307,943 923,830 461,915 1,385,746 692,873 2,078,620 1,039,310 519,655 1,558,966 779,483 2,338,450 1,169,225 3,507,676 1,753,838 876,919 2,630,758 1,315,379 3,946,138 1,973,069 5,919,208 2,959,604 1,479,802

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