λ
Sequence Observatory

1,673,696

25 × 193 × 271
Deficient Even Composite

Starting at 1,673,696, the Collatz iteration reaches 1 after 114 steps. The first transition is 836848; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 193 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,324,384
Proper Divisor Sum 1,650,688
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1673681 ← → #1673713

Radix Representation

Decimal 1673696
Binary 110011000100111100000 (21 bits)
Octal 0o6304740
Hexadecimal 0x1989E0

Divisor Catalog (24)

1 2 4 8 16 32 193 271 386 542 772 1,084 1,544 2,168 3,088 4,336 6,176 8,672 52,303 104,606 209,212 418,424 836,848 1,673,696

Collatz Trajectory (114 steps to reach 1)

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

1,673,696 836,848 418,424 209,212 104,606 52,303 156,910 78,455 235,366 117,683 353,050 176,525 529,576 264,788 132,394 66,197 198,592 99,296 49,648 24,824 12,412 6,206 3,103 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772

More profiles

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