λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,104,120

3,104,120

23 × 5 × 71 × 1093
Abundant Even Composite

3,104,120 factors as 2^3 × 5 × 71 × 1093. Its 32 positive divisors give a proper-divisor sum of 3,985,000, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 1093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,089,120
Proper Divisor Sum 3,985,000
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #3104113 ← → #3104137

Radix Representation

Decimal 3104120
Binary 1011110101110101111000 (22 bits)
Octal 0o13656570
Hexadecimal 0x2F5D78

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,093 1,420 2,186 2,840 4,372 5,465 8,744 10,930 21,860 43,720 77,603 155,206 310,412 388,015 620,824 776,030 1,552,060 3,104,120

Collatz Trajectory (89 steps to reach 1)

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

3,104,120 1,552,060 776,030 388,015 1,164,046 582,023 1,746,070 873,035 2,619,106 1,309,553 3,928,660 1,964,330 982,165 2,946,496 1,473,248 736,624 368,312 184,156 92,078 46,039 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846 19,423 58,270 29,135 87,406 43,703 131,110 65,555 196,666 98,333 295,000 147,500 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,104,119 Browse Full Index Next Integer #3,104,121 →