9,201,720

2³ × 3 × 5 × 11 × 6971

Starting at 9,201,720, the Collatz iteration reaches 1 after 150 steps. The first transition is 4600860; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 6971

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 30,119,040

Proper Divisor Sum 20,917,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9201677 ← → #9201727

Radix Representation

Decimal	9201720
Binary	100011000110100000111000 (24 bits)
Octal	0o43064070
Hexadecimal	0x8C6838

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 6,971 13,942 20,913 27,884 34,855 41,826 55,768 69,710 76,681 83,652 104,565 139,420 153,362 167,304 209,130 230,043 278,840 306,724 383,405 418,260 460,086 613,448 766,810 836,520 920,172 1,150,215 1,533,620 1,840,344

Collatz Trajectory (150 steps to reach 1)

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

9,201,720 4,600,860 2,300,430 1,150,215 3,450,646 1,725,323 5,175,970 2,587,985 7,763,956 3,881,978 1,940,989 5,822,968 2,911,484 1,455,742 727,871 2,183,614 1,091,807 3,275,422 1,637,711 4,913,134 2,456,567 7,369,702 3,684,851 11,054,554 5,527,277 16,581,832 8,290,916 4,145,458 2,072,729 6,218,188 3,109,094 1,554,547 4,663,642 2,331,821 6,995,464 3,497,732 1,748,866 874,433 2,623,300 1,311,650 655,825 1,967,476 983,738 491,869 1,475,608 737,804 368,902 184,451 553,354 276,677 830,032 415,016 207,508 103,754 51,877 155,632 77,816 38,908 19,454 9,727

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