9,868,380

2² × 3 × 5 × 23 × 7151

Starting at 9,868,380, the Collatz iteration reaches 1 after 145 steps. The first transition is 4934190; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 23 × 7151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 28,836,864

Proper Divisor Sum 18,968,484

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9868367 ← → #9868393

Radix Representation

Decimal	9868380
Binary	100101101001010001011100 (24 bits)
Octal	0o45512134
Hexadecimal	0x96945C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1,380 7,151 14,302 21,453 28,604 35,755 42,906 71,510 85,812 107,265 143,020 164,473 214,530 328,946 429,060 493,419 657,892 822,365 986,838 1,644,730 1,973,676 2,467,095 3,289,460 4,934,190 9,868,380

Collatz Trajectory (145 steps to reach 1)

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

9,868,380 4,934,190 2,467,095 7,401,286 3,700,643 11,101,930 5,550,965 16,652,896 8,326,448 4,163,224 2,081,612 1,040,806 520,403 1,561,210 780,605 2,341,816 1,170,908 585,454 292,727 878,182 439,091 1,317,274 658,637 1,975,912 987,956 493,978 246,989 740,968 370,484 185,242 92,621 277,864 138,932 69,466 34,733 104,200 52,100 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603

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