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Atlas › Integer Profiles › Node 11,628,015

11,628,015

3 × 5 × 7 × 59 × 1877
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 59 × 1877
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,634,560
Proper Divisor Sum 10,006,545
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #11628013 ← → #11628031

Radix Representation

Decimal 11628015
Binary 101100010110110111101111 (24 bits)
Octal 0o54266757
Hexadecimal 0xB16DEF

Divisor Catalog (32)

1 3 5 7 15 21 35 59 105 177 295 413 885 1,239 1,877 2,065 5,631 6,195 9,385 13,139 28,155 39,417 65,695 110,743 197,085 332,229 553,715 775,201 1,661,145 2,325,603 3,876,005 11,628,015

Collatz Trajectory (184 steps to reach 1)

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

11,628,015 34,884,046 17,442,023 52,326,070 26,163,035 78,489,106 39,244,553 117,733,660 58,866,830 29,433,415 88,300,246 44,150,123 132,450,370 66,225,185 198,675,556 99,337,778 49,668,889 149,006,668 74,503,334 37,251,667 111,755,002 55,877,501 167,632,504 83,816,252 41,908,126 20,954,063 62,862,190 31,431,095 94,293,286 47,146,643 141,439,930 70,719,965 212,159,896 106,079,948 53,039,974 26,519,987 79,559,962 39,779,981 119,339,944 59,669,972 29,834,986 14,917,493 44,752,480 22,376,240 11,188,120 5,594,060 2,797,030 1,398,515 4,195,546 2,097,773 6,293,320 3,146,660 1,573,330 786,665 2,359,996 1,179,998 589,999 1,769,998 884,999 2,654,998

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