3,680,991

3³ × 136333

3,680,991 factors as 3^3 × 136333. Its 8 positive divisors give a proper-divisor sum of 1,772,369, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3^3 × 136333

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,453,360

Proper Divisor Sum 1,772,369

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3680987 ← → #3681001

Radix Representation

Decimal	3680991
Binary	1110000010101011011111 (22 bits)
Octal	0o16025337
Hexadecimal	0x382ADF

Divisor Catalog (8)

1 3 9 27 136,333 408,999 1,226,997 3,680,991

Collatz Trajectory (141 steps to reach 1)

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

3,680,991 11,042,974 5,521,487 16,564,462 8,282,231 24,846,694 12,423,347 37,270,042 18,635,021 55,905,064 27,952,532 13,976,266 6,988,133 20,964,400 10,482,200 5,241,100 2,620,550 1,310,275 3,930,826 1,965,413 5,896,240 2,948,120 1,474,060 737,030 368,515 1,105,546 552,773 1,658,320 829,160 414,580 207,290 103,645 310,936 155,468 77,734 38,867 116,602 58,301 174,904 87,452 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089

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