3,672,086

2 × 11 × 83 × 2011

Starting at 3,672,086, the Collatz iteration reaches 1 after 97 steps. The first transition is 1836043; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 83 × 2011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,084,288

Proper Divisor Sum 2,412,202

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3672059 ← → #3672089

Radix Representation

Decimal	3672086
Binary	1110000000100000010110 (22 bits)
Octal	0o16004026
Hexadecimal	0x380816

Divisor Catalog (16)

1 2 11 22 83 166 913 1,826 2,011 4,022 22,121 44,242 166,913 333,826 1,836,043 3,672,086

Collatz Trajectory (97 steps to reach 1)

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

3,672,086 1,836,043 5,508,130 2,754,065 8,262,196 4,131,098 2,065,549 6,196,648 3,098,324 1,549,162 774,581 2,323,744 1,161,872 580,936 290,468 145,234 72,617 217,852 108,926 54,463 163,390 81,695 245,086 122,543 367,630 183,815 551,446 275,723 827,170 413,585 1,240,756 620,378 310,189 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647

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