λ
Sigma Notebook

9,886,665

3 × 5 × 23 × 28657
Deficient Odd Composite

9,886,665 is odd and not a perfect square. Its factorization is 3 × 5 × 23 × 28657 and its 16 divisors sum to 16,507,008.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 28657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,507,008
Proper Divisor Sum 6,620,343
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9886649 ← → #9886691

Radix Representation

Decimal 9886665
Binary 100101101101101111001001 (24 bits)
Octal 0o45555711
Hexadecimal 0x96DBC9

Divisor Catalog (16)

1 3 5 15 23 69 115 345 28,657 85,971 143,285 429,855 659,111 1,977,333 3,295,555 9,886,665

Collatz Trajectory (168 steps to reach 1)

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

9,886,665 29,659,996 14,829,998 7,414,999 22,244,998 11,122,499 33,367,498 16,683,749 50,051,248 25,025,624 12,512,812 6,256,406 3,128,203 9,384,610 4,692,305 14,076,916 7,038,458 3,519,229 10,557,688 5,278,844 2,639,422 1,319,711 3,959,134 1,979,567 5,938,702 2,969,351 8,908,054 4,454,027 13,362,082 6,681,041 20,043,124 10,021,562 5,010,781 15,032,344 7,516,172 3,758,086 1,879,043 5,637,130 2,818,565 8,455,696 4,227,848 2,113,924 1,056,962 528,481 1,585,444 792,722 396,361 1,189,084 594,542 297,271 891,814 445,907 1,337,722 668,861 2,006,584 1,003,292 501,646 250,823 752,470 376,235

More profiles

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