3,691,401

3 × 7 × 175781

3,691,401 factors as 3 × 7 × 175781. Its 8 positive divisors give a proper-divisor sum of 1,933,623, so this integer is deficient. The Collatz stopping time is 309 steps.

Prime Factor Structure

Factorization String 3 × 7 × 175781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,625,024

Proper Divisor Sum 1,933,623

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3691367 ← → #3691403

Radix Representation

Decimal	3691401
Binary	1110000101001110001001 (22 bits)
Octal	0o16051611
Hexadecimal	0x385389

Divisor Catalog (8)

1 3 7 21 175,781 527,343 1,230,467 3,691,401

Collatz Trajectory (309 steps to reach 1)

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

3,691,401 11,074,204 5,537,102 2,768,551 8,305,654 4,152,827 12,458,482 6,229,241 18,687,724 9,343,862 4,671,931 14,015,794 7,007,897 21,023,692 10,511,846 5,255,923 15,767,770 7,883,885 23,651,656 11,825,828 5,912,914 2,956,457 8,869,372 4,434,686 2,217,343 6,652,030 3,326,015 9,978,046 4,989,023 14,967,070 7,483,535 22,450,606 11,225,303 33,675,910 16,837,955 50,513,866 25,256,933 75,770,800 37,885,400 18,942,700 9,471,350 4,735,675 14,207,026 7,103,513 21,310,540 10,655,270 5,327,635 15,982,906 7,991,453 23,974,360 11,987,180 5,993,590 2,996,795 8,990,386 4,495,193 13,485,580 6,742,790 3,371,395 10,114,186 5,057,093

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