λ
Sigma Notebook

2,640,185

5 × 17 × 89 × 349
Deficient Odd Composite

2,640,185 is odd and not a perfect square. Its factorization is 5 × 17 × 89 × 349 and its 16 divisors sum to 3,402,000.

Prime Factor Structure

Factorization String 5 × 17 × 89 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,402,000
Proper Divisor Sum 761,815
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2640181 ← → #2640217

Radix Representation

Decimal 2640185
Binary 1010000100100100111001 (22 bits)
Octal 0o12044471
Hexadecimal 0x284939

Divisor Catalog (16)

1 5 17 85 89 349 445 1,513 1,745 5,933 7,565 29,665 31,061 155,305 528,037 2,640,185

Collatz Trajectory (187 steps to reach 1)

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

2,640,185 7,920,556 3,960,278 1,980,139 5,940,418 2,970,209 8,910,628 4,455,314 2,227,657 6,682,972 3,341,486 1,670,743 5,012,230 2,506,115 7,518,346 3,759,173 11,277,520 5,638,760 2,819,380 1,409,690 704,845 2,114,536 1,057,268 528,634 264,317 792,952 396,476 198,238 99,119 297,358 148,679 446,038 223,019 669,058 334,529 1,003,588 501,794 250,897 752,692 376,346 188,173 564,520 282,260 141,130 70,565 211,696 105,848 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480

More profiles

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