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Atlas › Integer Profiles › Node 2,806,776

2,806,776

23 × 32 × 7 × 5569
Abundant Even Composite

2,806,776 factors as 2^3 × 3^2 × 7 × 5569. Its 48 positive divisors give a proper-divisor sum of 5,882,424, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 5569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,689,200
Proper Divisor Sum 5,882,424
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2806757 ← → #2806781

Radix Representation

Decimal 2806776
Binary 1010101101001111111000 (22 bits)
Octal 0o12551770
Hexadecimal 0x2AD3F8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5,569 11,138 16,707 22,276 33,414 38,983 44,552 50,121 66,828 77,966 100,242 116,949 133,656 155,932 200,484 233,898 311,864 350,847 400,968 467,796 701,694 935,592 1,403,388 2,806,776

Collatz Trajectory (130 steps to reach 1)

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

2,806,776 1,403,388 701,694 350,847 1,052,542 526,271 1,578,814 789,407 2,368,222 1,184,111 3,552,334 1,776,167 5,328,502 2,664,251 7,992,754 3,996,377 11,989,132 5,994,566 2,997,283 8,991,850 4,495,925 13,487,776 6,743,888 3,371,944 1,685,972 842,986 421,493 1,264,480 632,240 316,120 158,060 79,030 39,515 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803

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