λ
Prime Ledger

1,009,730

2 × 5 × 37 × 2729
Deficient Even Composite

1,009,730 has the prime decomposition 2 × 5 × 37 × 2729. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 2729
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,867,320
Proper Divisor Sum 857,590
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1009727 ← → #1009741

Radix Representation

Decimal 1009730
Binary 11110110100001000010 (20 bits)
Octal 0o3664102
Hexadecimal 0xF6842

Divisor Catalog (16)

1 2 5 10 37 74 185 370 2,729 5,458 13,645 27,290 100,973 201,946 504,865 1,009,730

Collatz Trajectory (320 steps to reach 1)

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

1,009,730 504,865 1,514,596 757,298 378,649 1,135,948 567,974 283,987 851,962 425,981 1,277,944 638,972 319,486 159,743 479,230 239,615 718,846 359,423 1,078,270 539,135 1,617,406 808,703 2,426,110 1,213,055 3,639,166 1,819,583 5,458,750 2,729,375 8,188,126 4,094,063 12,282,190 6,141,095 18,423,286 9,211,643 27,634,930 13,817,465 41,452,396 20,726,198 10,363,099 31,089,298 15,544,649 46,633,948 23,316,974 11,658,487 34,975,462 17,487,731 52,463,194 26,231,597 78,694,792 39,347,396 19,673,698 9,836,849 29,510,548 14,755,274 7,377,637 22,132,912 11,066,456 5,533,228 2,766,614 1,383,307

More profiles

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