3,827,240

2³ × 5 × 163 × 587

Starting at 3,827,240, the Collatz iteration reaches 1 after 79 steps. The first transition is 1913620; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 163 × 587

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,678,880

Proper Divisor Sum 4,851,640

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3827231 ← → #3827249

Radix Representation

Decimal	3827240
Binary	1110100110011000101000 (22 bits)
Octal	0o16463050
Hexadecimal	0x3A6628

Divisor Catalog (32)

1 2 4 5 8 10 20 40 163 326 587 652 815 1,174 1,304 1,630 2,348 2,935 3,260 4,696 5,870 6,520 11,740 23,480 95,681 191,362 382,724 478,405 765,448 956,810 1,913,620 3,827,240

Collatz Trajectory (79 steps to reach 1)

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

3,827,240 1,913,620 956,810 478,405 1,435,216 717,608 358,804 179,402 89,701 269,104 134,552 67,276 33,638 16,819 50,458 25,229 75,688 37,844 18,922 9,461 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19

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