λ
Prime Ledger

704,085

3 × 5 × 73 × 643
Deficient Odd Composite

704,085 has the prime decomposition 3 × 5 × 73 × 643. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,143,744
Proper Divisor Sum 439,659
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #704069 ← → #704087

Radix Representation

Decimal 704085
Binary 10101011111001010101 (20 bits)
Octal 0o2537125
Hexadecimal 0xABE55

Divisor Catalog (16)

1 3 5 15 73 219 365 643 1,095 1,929 3,215 9,645 46,939 140,817 234,695 704,085

Collatz Trajectory (74 steps to reach 1)

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

704,085 2,112,256 1,056,128 528,064 264,032 132,016 66,008 33,004 16,502 8,251 24,754 12,377 37,132 18,566 9,283 27,850 13,925 41,776 20,888 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22

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