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Atlas › Integer Profiles › Node 3,677,055

3,677,055

3 × 5 × 29 × 79 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 79 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,220,800
Proper Divisor Sum 2,543,745
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3677041 ← → #3677071

Radix Representation

Decimal 3677055
Binary 1110000001101101111111 (22 bits)
Octal 0o16015577
Hexadecimal 0x381B7F

Divisor Catalog (32)

1 3 5 15 29 79 87 107 145 237 321 395 435 535 1,185 1,605 2,291 3,103 6,873 8,453 9,309 11,455 15,515 25,359 34,365 42,265 46,545 126,795 245,137 735,411 1,225,685 3,677,055

Collatz Trajectory (115 steps to reach 1)

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

3,677,055 11,031,166 5,515,583 16,546,750 8,273,375 24,820,126 12,410,063 37,230,190 18,615,095 55,845,286 27,922,643 83,767,930 41,883,965 125,651,896 62,825,948 31,412,974 15,706,487 47,119,462 23,559,731 70,679,194 35,339,597 106,018,792 53,009,396 26,504,698 13,252,349 39,757,048 19,878,524 9,939,262 4,969,631 14,908,894 7,454,447 22,363,342 11,181,671 33,545,014 16,772,507 50,317,522 25,158,761 75,476,284 37,738,142 18,869,071 56,607,214 28,303,607 84,910,822 42,455,411 127,366,234 63,683,117 191,049,352 95,524,676 47,762,338 23,881,169 71,643,508 35,821,754 17,910,877 53,732,632 26,866,316 13,433,158 6,716,579 20,149,738 10,074,869 30,224,608

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