λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,703,696

1,703,696

24 × 233 × 457
Deficient Even Composite

Starting at 1,703,696, the Collatz iteration reaches 1 after 83 steps. The first transition is 851848; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 233 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,322,332
Proper Divisor Sum 1,618,636
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1703693 ← → #1703707

Radix Representation

Decimal 1703696
Binary 110011111111100010000 (21 bits)
Octal 0o6377420
Hexadecimal 0x19FF10

Divisor Catalog (20)

1 2 4 8 16 233 457 466 914 932 1,828 1,864 3,656 3,728 7,312 106,481 212,962 425,924 851,848 1,703,696

Collatz Trajectory (83 steps to reach 1)

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

1,703,696 851,848 425,924 212,962 106,481 319,444 159,722 79,861 239,584 119,792 59,896 29,948 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304

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