λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,736,760

2,736,760

23 × 5 × 13 × 19 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 19 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,005,600
Proper Divisor Sum 4,268,840
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2736757 ← → #2736787

Radix Representation

Decimal 2736760
Binary 1010011100001001111000 (22 bits)
Octal 0o12341170
Hexadecimal 0x29C278

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 277 380 494 520 554 760 988 1,108 1,235 1,385 1,976 2,216 2,470 2,770 3,601 4,940 5,263 5,540 7,202 9,880 10,526 11,080 14,404 18,005 21,052 26,315 28,808 36,010 42,104 52,630 68,419 72,020 105,260 136,838 144,040 210,520 273,676 342,095

Collatz Trajectory (94 steps to reach 1)

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

2,736,760 1,368,380 684,190 342,095 1,026,286 513,143 1,539,430 769,715 2,309,146 1,154,573 3,463,720 1,731,860 865,930 432,965 1,298,896 649,448 324,724 162,362 81,181 243,544 121,772 60,886 30,443 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,736,759 Browse Full Index Next Integer #2,736,761 →