3,862,356

2² × 3 × 37 × 8699

Starting at 3,862,356, the Collatz iteration reaches 1 after 216 steps. The first transition is 1931178; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 8699

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,256,800

Proper Divisor Sum 5,394,444

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3862343 ← → #3862361

Radix Representation

Decimal	3862356
Binary	1110101110111101010100 (22 bits)
Octal	0o16567524
Hexadecimal	0x3AEF54

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 8,699 17,398 26,097 34,796 52,194 104,388 321,863 643,726 965,589 1,287,452 1,931,178 3,862,356

Collatz Trajectory (216 steps to reach 1)

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

3,862,356 1,931,178 965,589 2,896,768 1,448,384 724,192 362,096 181,048 90,524 45,262 22,631 67,894 33,947 101,842 50,921 152,764 76,382 38,191 114,574 57,287 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379 163,138 81,569 244,708 122,354 61,177 183,532 91,766 45,883 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502

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