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Atlas › Integer Profiles › Node 42,628,256

42,628,256

25 × 11 × 347 × 349
Abundant Even Composite

42,628,256 factors as 2^5 × 11 × 347 × 349. Its 48 positive divisors give a proper-divisor sum of 49,452,544, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 347 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,080,800
Proper Divisor Sum 49,452,544
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42628247 ← → #42628259

Radix Representation

Decimal 42628256
Binary 10100010100111010010100000 (26 bits)
Octal 0o242472240
Hexadecimal 0x28A74A0

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 176 347 349 352 694 698 1,388 1,396 2,776 2,792 3,817 3,839 5,552 5,584 7,634 7,678 11,104 11,168 15,268 15,356 30,536 30,712 61,072 61,424 121,103 122,144 122,848 242,206 484,412 968,824 1,332,133 1,937,648 2,664,266 3,875,296 5,328,532 10,657,064 21,314,128 42,628,256

Collatz Trajectory (121 steps to reach 1)

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

42,628,256 21,314,128 10,657,064 5,328,532 2,664,266 1,332,133 3,996,400 1,998,200 999,100 499,550 249,775 749,326 374,663 1,123,990 561,995 1,685,986 842,993 2,528,980 1,264,490 632,245 1,896,736 948,368 474,184 237,092 118,546 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 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511

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