λ
Sequence Observatory

6,165,320

23 × 5 × 7 × 97 × 227
Abundant Even Composite

Starting at 6,165,320, the Collatz iteration reaches 1 after 196 steps. The first transition is 3082660; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 97 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,087,680
Proper Divisor Sum 9,922,360
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6165307 ← → #6165349

Radix Representation

Decimal 6165320
Binary 10111100001001101001000 (23 bits)
Octal 0o27411510
Hexadecimal 0x5E1348

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 227 280 388 454 485 679 776 908 970 1,135 1,358 1,589 1,816 1,940 2,270 2,716 3,178 3,395 3,880 4,540 5,432 6,356 6,790 7,945 9,080 12,712 13,580 15,890 22,019 27,160 31,780 44,038 63,560 88,076 110,095 154,133 176,152 220,190 308,266 440,380 616,532 770,665 880,760

Collatz Trajectory (196 steps to reach 1)

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

6,165,320 3,082,660 1,541,330 770,665 2,311,996 1,155,998 577,999 1,733,998 866,999 2,600,998 1,300,499 3,901,498 1,950,749 5,852,248 2,926,124 1,463,062 731,531 2,194,594 1,097,297 3,291,892 1,645,946 822,973 2,468,920 1,234,460 617,230 308,615 925,846 462,923 1,388,770 694,385 2,083,156 1,041,578 520,789 1,562,368 781,184 390,592 195,296 97,648 48,824 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520

More profiles

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