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Atlas › Integer Profiles › Node 8,565,615

8,565,615

33 × 5 × 67 × 947
Deficient Odd Composite

8,565,615 factors as 3^3 × 5 × 67 × 947. Its 32 positive divisors give a proper-divisor sum of 6,905,745, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 67 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,471,360
Proper Divisor Sum 6,905,745
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8565593 ← → #8565619

Radix Representation

Decimal 8565615
Binary 100000101011001101101111 (24 bits)
Octal 0o40531557
Hexadecimal 0x82B36F

Divisor Catalog (32)

1 3 5 9 15 27 45 67 135 201 335 603 947 1,005 1,809 2,841 3,015 4,735 8,523 9,045 14,205 25,569 42,615 63,449 127,845 190,347 317,245 571,041 951,735 1,713,123 2,855,205 8,565,615

Collatz Trajectory (212 steps to reach 1)

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

8,565,615 25,696,846 12,848,423 38,545,270 19,272,635 57,817,906 28,908,953 86,726,860 43,363,430 21,681,715 65,045,146 32,522,573 97,567,720 48,783,860 24,391,930 12,195,965 36,587,896 18,293,948 9,146,974 4,573,487 13,720,462 6,860,231 20,580,694 10,290,347 30,871,042 15,435,521 46,306,564 23,153,282 11,576,641 34,729,924 17,364,962 8,682,481 26,047,444 13,023,722 6,511,861 19,535,584 9,767,792 4,883,896 2,441,948 1,220,974 610,487 1,831,462 915,731 2,747,194 1,373,597 4,120,792 2,060,396 1,030,198 515,099 1,545,298 772,649 2,317,948 1,158,974 579,487 1,738,462 869,231 2,607,694 1,303,847 3,911,542 1,955,771

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