3,390,783

3 × 11² × 9341

3,390,783 factors as 3 × 11^2 × 9341. Its 12 positive divisors give a proper-divisor sum of 1,579,161, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 9341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,969,944

Proper Divisor Sum 1,579,161

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3390763 ← → #3390787

Radix Representation

Decimal	3390783
Binary	1100111011110100111111 (22 bits)
Octal	0o14736477
Hexadecimal	0x33BD3F

Divisor Catalog (12)

1 3 11 33 121 363 9,341 28,023 102,751 308,253 1,130,261 3,390,783

Collatz Trajectory (159 steps to reach 1)

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

3,390,783 10,172,350 5,086,175 15,258,526 7,629,263 22,887,790 11,443,895 34,331,686 17,165,843 51,497,530 25,748,765 77,246,296 38,623,148 19,311,574 9,655,787 28,967,362 14,483,681 43,451,044 21,725,522 10,862,761 32,588,284 16,294,142 8,147,071 24,441,214 12,220,607 36,661,822 18,330,911 54,992,734 27,496,367 82,489,102 41,244,551 123,733,654 61,866,827 185,600,482 92,800,241 278,400,724 139,200,362 69,600,181 208,800,544 104,400,272 52,200,136 26,100,068 13,050,034 6,525,017 19,575,052 9,787,526 4,893,763 14,681,290 7,340,645 22,021,936 11,010,968 5,505,484 2,752,742 1,376,371 4,129,114 2,064,557 6,193,672 3,096,836 1,548,418 774,209

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