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Atlas › Integer Profiles › Node 3,679,515

3,679,515

32 × 5 × 7 × 11681
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11681
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,289,568
Proper Divisor Sum 3,610,053
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3679499 ← → #3679519

Radix Representation

Decimal 3679515
Binary 1110000010010100011011 (22 bits)
Octal 0o16022433
Hexadecimal 0x38251B

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 11,681 35,043 58,405 81,767 105,129 175,215 245,301 408,835 525,645 735,903 1,226,505 3,679,515

Collatz Trajectory (301 steps to reach 1)

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

3,679,515 11,038,546 5,519,273 16,557,820 8,278,910 4,139,455 12,418,366 6,209,183 18,627,550 9,313,775 27,941,326 13,970,663 41,911,990 20,955,995 62,867,986 31,433,993 94,301,980 47,150,990 23,575,495 70,726,486 35,363,243 106,089,730 53,044,865 159,134,596 79,567,298 39,783,649 119,350,948 59,675,474 29,837,737 89,513,212 44,756,606 22,378,303 67,134,910 33,567,455 100,702,366 50,351,183 151,053,550 75,526,775 226,580,326 113,290,163 339,870,490 169,935,245 509,805,736 254,902,868 127,451,434 63,725,717 191,177,152 95,588,576 47,794,288 23,897,144 11,948,572 5,974,286 2,987,143 8,961,430 4,480,715 13,442,146 6,721,073 20,163,220 10,081,610 5,040,805

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