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Atlas › Integer Profiles › Node 1,069,215

1,069,215

3 × 5 × 7 × 17 × 599
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,073,600
Proper Divisor Sum 1,004,385
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1069207 ← → #1069217

Radix Representation

Decimal 1069215
Binary 100000101000010011111 (21 bits)
Octal 0o4050237
Hexadecimal 0x10509F

Divisor Catalog (32)

1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 599 1,785 1,797 2,995 4,193 8,985 10,183 12,579 20,965 30,549 50,915 62,895 71,281 152,745 213,843 356,405 1,069,215

Collatz Trajectory (302 steps to reach 1)

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

1,069,215 3,207,646 1,603,823 4,811,470 2,405,735 7,217,206 3,608,603 10,825,810 5,412,905 16,238,716 8,119,358 4,059,679 12,179,038 6,089,519 18,268,558 9,134,279 27,402,838 13,701,419 41,104,258 20,552,129 61,656,388 30,828,194 15,414,097 46,242,292 23,121,146 11,560,573 34,681,720 17,340,860 8,670,430 4,335,215 13,005,646 6,502,823 19,508,470 9,754,235 29,262,706 14,631,353 43,894,060 21,947,030 10,973,515 32,920,546 16,460,273 49,380,820 24,690,410 12,345,205 37,035,616 18,517,808 9,258,904 4,629,452 2,314,726 1,157,363 3,472,090 1,736,045 5,208,136 2,604,068 1,302,034 651,017 1,953,052 976,526 488,263 1,464,790

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