λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,602,280

3,602,280

23 × 3 × 5 × 11 × 2729
Abundant Even Composite

3,602,280 factors as 2^3 × 3 × 5 × 11 × 2729. Its 64 positive divisors give a proper-divisor sum of 8,191,320, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 2729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,793,600
Proper Divisor Sum 8,191,320
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3602279 ← → #3602297

Radix Representation

Decimal 3602280
Binary 1101101111011101101000 (22 bits)
Octal 0o15573550
Hexadecimal 0x36F768

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 2,729 5,458 8,187 10,916 13,645 16,374 21,832 27,290 30,019 32,748 40,935 54,580 60,038 65,496 81,870 90,057 109,160 120,076 150,095 163,740 180,114 240,152 300,190 327,480 360,228 450,285 600,380 720,456

Collatz Trajectory (115 steps to reach 1)

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

3,602,280 1,801,140 900,570 450,285 1,350,856 675,428 337,714 168,857 506,572 253,286 126,643 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,602,279 Browse Full Index Next Integer #3,602,281 →