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Atlas › Integer Profiles › Node 3,986,208

3,986,208

25 × 32 × 13841
Abundant Even Composite

Starting at 3,986,208, the Collatz iteration reaches 1 after 216 steps. The first transition is 1993104; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 13841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,336,598
Proper Divisor Sum 7,350,390
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3986207 ← → #3986209

Radix Representation

Decimal 3986208
Binary 1111001101001100100000 (22 bits)
Octal 0o17151440
Hexadecimal 0x3CD320

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13,841 27,682 41,523 55,364 83,046 110,728 124,569 166,092 221,456 249,138 332,184 442,912 498,276 664,368 996,552 1,328,736 1,993,104 3,986,208

Collatz Trajectory (216 steps to reach 1)

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

3,986,208 1,993,104 996,552 498,276 249,138 124,569 373,708 186,854 93,427 280,282 140,141 420,424 210,212 105,106 52,553 157,660 78,830 39,415 118,246 59,123 177,370 88,685 266,056 133,028 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288

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