λ
Sequence Observatory

3,660,732

22 × 32 × 61 × 1667
Abundant Even Composite

Starting at 3,660,732, the Collatz iteration reaches 1 after 221 steps. The first transition is 1830366; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 61 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,410,856
Proper Divisor Sum 5,750,124
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3660721 ← → #3660733

Radix Representation

Decimal 3660732
Binary 1101111101101110111100 (22 bits)
Octal 0o15755674
Hexadecimal 0x37DBBC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1,098 1,667 2,196 3,334 5,001 6,668 10,002 15,003 20,004 30,006 60,012 101,687 203,374 305,061 406,748 610,122 915,183 1,220,244 1,830,366 3,660,732

Collatz Trajectory (221 steps to reach 1)

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

3,660,732 1,830,366 915,183 2,745,550 1,372,775 4,118,326 2,059,163 6,177,490 3,088,745 9,266,236 4,633,118 2,316,559 6,949,678 3,474,839 10,424,518 5,212,259 15,636,778 7,818,389 23,455,168 11,727,584 5,863,792 2,931,896 1,465,948 732,974 366,487 1,099,462 549,731 1,649,194 824,597 2,473,792 1,236,896 618,448 309,224 154,612 77,306 38,653 115,960 57,980 28,990 14,495 43,486 21,743 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918

More profiles

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