λ
Sequence Observatory

9,213,660

22 × 32 × 5 × 17 × 3011
Abundant Even Composite

Starting at 9,213,660, the Collatz iteration reaches 1 after 225 steps. The first transition is 4606830; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 3011
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,601,936
Proper Divisor Sum 20,388,276
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9213647 ← → #9213683

Radix Representation

Decimal 9213660
Binary 100011001001011011011100 (24 bits)
Octal 0o43113334
Hexadecimal 0x8C96DC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1,020 1,530 3,011 3,060 6,022 9,033 12,044 15,055 18,066 27,099 30,110 36,132 45,165 51,187 54,198 60,220 90,330 102,374 108,396 135,495 153,561 180,660 204,748 255,935 270,990 307,122 460,683

Collatz Trajectory (225 steps to reach 1)

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

9,213,660 4,606,830 2,303,415 6,910,246 3,455,123 10,365,370 5,182,685 15,548,056 7,774,028 3,887,014 1,943,507 5,830,522 2,915,261 8,745,784 4,372,892 2,186,446 1,093,223 3,279,670 1,639,835 4,919,506 2,459,753 7,379,260 3,689,630 1,844,815 5,534,446 2,767,223 8,301,670 4,150,835 12,452,506 6,226,253 18,678,760 9,339,380 4,669,690 2,334,845 7,004,536 3,502,268 1,751,134 875,567 2,626,702 1,313,351 3,940,054 1,970,027 5,910,082 2,955,041 8,865,124 4,432,562 2,216,281 6,648,844 3,324,422 1,662,211 4,986,634 2,493,317 7,479,952 3,739,976 1,869,988 934,994 467,497 1,402,492 701,246 350,623

More profiles

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