λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,933,180

3,933,180

22 × 32 × 5 × 21851
Abundant Even Composite

3,933,180 factors as 2^2 × 3^2 × 5 × 21851. Its 36 positive divisors give a proper-divisor sum of 7,998,012, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 21851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,931,192
Proper Divisor Sum 7,998,012
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3933151 ← → #3933197

Radix Representation

Decimal 3933180
Binary 1111000000001111111100 (22 bits)
Octal 0o17001774
Hexadecimal 0x3C03FC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21,851 43,702 65,553 87,404 109,255 131,106 196,659 218,510 262,212 327,765 393,318 437,020 655,530 786,636 983,295 1,311,060 1,966,590 3,933,180

Collatz Trajectory (110 steps to reach 1)

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

3,933,180 1,966,590 983,295 2,949,886 1,474,943 4,424,830 2,212,415 6,637,246 3,318,623 9,955,870 4,977,935 14,933,806 7,466,903 22,400,710 11,200,355 33,601,066 16,800,533 50,401,600 25,200,800 12,600,400 6,300,200 3,150,100 1,575,050 787,525 2,362,576 1,181,288 590,644 295,322 147,661 442,984 221,492 110,746 55,373 166,120 83,060 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,933,179 Browse Full Index Next Integer #3,933,181 →