λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,863,740

2,863,740

22 × 3 × 5 × 11 × 4339
Abundant Even Composite

2,863,740 factors as 2^2 × 3 × 5 × 11 × 4339. Its 48 positive divisors give a proper-divisor sum of 5,885,700, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 4339
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,749,440
Proper Divisor Sum 5,885,700
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2863739 ← → #2863741

Radix Representation

Decimal 2863740
Binary 1010111011001001111100 (22 bits)
Octal 0o12731174
Hexadecimal 0x2BB27C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4,339 8,678 13,017 17,356 21,695 26,034 43,390 47,729 52,068 65,085 86,780 95,458 130,170 143,187 190,916 238,645 260,340 286,374 477,290 572,748 715,935 954,580 1,431,870 2,863,740

Collatz Trajectory (156 steps to reach 1)

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

2,863,740 1,431,870 715,935 2,147,806 1,073,903 3,221,710 1,610,855 4,832,566 2,416,283 7,248,850 3,624,425 10,873,276 5,436,638 2,718,319 8,154,958 4,077,479 12,232,438 6,116,219 18,348,658 9,174,329 27,522,988 13,761,494 6,880,747 20,642,242 10,321,121 30,963,364 15,481,682 7,740,841 23,222,524 11,611,262 5,805,631 17,416,894 8,708,447 26,125,342 13,062,671 39,188,014 19,594,007 58,782,022 29,391,011 88,173,034 44,086,517 132,259,552 66,129,776 33,064,888 16,532,444 8,266,222 4,133,111 12,399,334 6,199,667 18,599,002 9,299,501 27,898,504 13,949,252 6,974,626 3,487,313 10,461,940 5,230,970 2,615,485 7,846,456 3,923,228

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,863,739 Browse Full Index Next Integer #2,863,741 →