1,265,141

31 × 37 × 1103

Starting at 1,265,141, the Collatz iteration reaches 1 after 103 steps. The first transition is 3795424; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 37 × 1103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,342,464

Proper Divisor Sum 77,323

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1265129 ← → #1265167

Radix Representation

Decimal	1265141
Binary	100110100110111110101 (21 bits)
Octal	0o4646765
Hexadecimal	0x134DF5

Divisor Catalog (8)

1 31 37 1,103 1,147 34,193 40,811 1,265,141

Collatz Trajectory (103 steps to reach 1)

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

1,265,141 3,795,424 1,897,712 948,856 474,428 237,214 118,607 355,822 177,911 533,734 266,867 800,602 400,301 1,200,904 600,452 300,226 150,113 450,340 225,170 112,585 337,756 168,878 84,439 253,318 126,659 379,978 189,989 569,968 284,984 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026

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