1,185,679

11² × 41 × 239

Starting at 1,185,679, the Collatz iteration reaches 1 after 147 steps. The first transition is 3557038; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 41 × 239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,340,640

Proper Divisor Sum 154,961

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1185677 ← → #1185683

Radix Representation

Decimal	1185679
Binary	100100001011110001111 (21 bits)
Octal	0o4413617
Hexadecimal	0x12178F

Divisor Catalog (12)

1 11 41 121 239 451 2,629 4,961 9,799 28,919 107,789 1,185,679

Collatz Trajectory (147 steps to reach 1)

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

1,185,679 3,557,038 1,778,519 5,335,558 2,667,779 8,003,338 4,001,669 12,005,008 6,002,504 3,001,252 1,500,626 750,313 2,250,940 1,125,470 562,735 1,688,206 844,103 2,532,310 1,266,155 3,798,466 1,899,233 5,697,700 2,848,850 1,424,425 4,273,276 2,136,638 1,068,319 3,204,958 1,602,479 4,807,438 2,403,719 7,211,158 3,605,579 10,816,738 5,408,369 16,225,108 8,112,554 4,056,277 12,168,832 6,084,416 3,042,208 1,521,104 760,552 380,276 190,138 95,069 285,208 142,604 71,302 35,651 106,954 53,477 160,432 80,216 40,108 20,054 10,027 30,082 15,041 45,124

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