λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,968,946

3,968,946

2 × 33 × 67 × 1097
Abundant Even Composite

3,968,946 factors as 2 × 3^3 × 67 × 1097. Its 32 positive divisors give a proper-divisor sum of 4,990,734, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 67 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,959,680
Proper Divisor Sum 4,990,734
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3968941 ← → #3968947

Radix Representation

Decimal 3968946
Binary 1111001000111110110010 (22 bits)
Octal 0o17107662
Hexadecimal 0x3C8FB2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 67 134 201 402 603 1,097 1,206 1,809 2,194 3,291 3,618 6,582 9,873 19,746 29,619 59,238 73,499 146,998 220,497 440,994 661,491 1,322,982 1,984,473 3,968,946

Collatz Trajectory (185 steps to reach 1)

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

3,968,946 1,984,473 5,953,420 2,976,710 1,488,355 4,465,066 2,232,533 6,697,600 3,348,800 1,674,400 837,200 418,600 209,300 104,650 52,325 156,976 78,488 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,968,945 Browse Full Index Next Integer #3,968,947 →