9,721,080

2³ × 3³ × 5 × 9001

Starting at 9,721,080, the Collatz iteration reaches 1 after 132 steps. The first transition is 4860540; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 9001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 32,407,200

Proper Divisor Sum 22,686,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9721079 ← → #9721081

Radix Representation

Decimal	9721080
Binary	100101000101010011111000 (24 bits)
Octal	0o45052370
Hexadecimal	0x9454F8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 9,001 18,002 27,003 36,004 45,005 54,006 72,008 81,009 90,010 108,012 135,015 162,018 180,020 216,024 243,027 270,030 324,036 360,040 405,045 486,054 540,060 648,072 810,090 972,108 1,080,120 1,215,135 1,620,180 1,944,216

Collatz Trajectory (132 steps to reach 1)

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

9,721,080 4,860,540 2,430,270 1,215,135 3,645,406 1,822,703 5,468,110 2,734,055 8,202,166 4,101,083 12,303,250 6,151,625 18,454,876 9,227,438 4,613,719 13,841,158 6,920,579 20,761,738 10,380,869 31,142,608 15,571,304 7,785,652 3,892,826 1,946,413 5,839,240 2,919,620 1,459,810 729,905 2,189,716 1,094,858 547,429 1,642,288 821,144 410,572 205,286 102,643 307,930 153,965 461,896 230,948 115,474 57,737 173,212 86,606 43,303 129,910 64,955 194,866 97,433 292,300 146,150 73,075 219,226 109,613 328,840 164,420 82,210 41,105 123,316 61,658

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