λ
Sequence Observatory

1,730,780

22 × 5 × 86539
Abundant Even Composite

Starting at 1,730,780, the Collatz iteration reaches 1 after 207 steps. The first transition is 865390; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 86539
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,634,680
Proper Divisor Sum 1,903,900
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1730779 ← → #1730789

Radix Representation

Decimal 1730780
Binary 110100110100011011100 (21 bits)
Octal 0o6464334
Hexadecimal 0x1A68DC

Divisor Catalog (12)

1 2 4 5 10 20 86,539 173,078 346,156 432,695 865,390 1,730,780

Collatz Trajectory (207 steps to reach 1)

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

1,730,780 865,390 432,695 1,298,086 649,043 1,947,130 973,565 2,920,696 1,460,348 730,174 365,087 1,095,262 547,631 1,642,894 821,447 2,464,342 1,232,171 3,696,514 1,848,257 5,544,772 2,772,386 1,386,193 4,158,580 2,079,290 1,039,645 3,118,936 1,559,468 779,734 389,867 1,169,602 584,801 1,754,404 877,202 438,601 1,315,804 657,902 328,951 986,854 493,427 1,480,282 740,141 2,220,424 1,110,212 555,106 277,553 832,660 416,330 208,165 624,496 312,248 156,124 78,062 39,031 117,094 58,547 175,642 87,821 263,464 131,732 65,866

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