3,940,008

2³ × 3 × 181 × 907

Starting at 3,940,008, the Collatz iteration reaches 1 after 154 steps. The first transition is 1970004; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 181 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,915,360

Proper Divisor Sum 5,975,352

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3939997 ← → #3940009

Radix Representation

Decimal	3940008
Binary	1111000001111010101000 (22 bits)
Octal	0o17017250
Hexadecimal	0x3C1EA8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 181 362 543 724 907 1,086 1,448 1,814 2,172 2,721 3,628 4,344 5,442 7,256 10,884 21,768 164,167 328,334 492,501 656,668 985,002 1,313,336 1,970,004 3,940,008

Collatz Trajectory (154 steps to reach 1)

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

3,940,008 1,970,004 985,002 492,501 1,477,504 738,752 369,376 184,688 92,344 46,172 23,086 11,543 34,630 17,315 51,946 25,973 77,920 38,960 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

← Previous Integer #3,940,007 Browse Full Index Next Integer #3,940,009 →