3,681,788

2² × 11² × 7607

3,681,788 factors as 2^2 × 11^2 × 7607. Its 18 positive divisors give a proper-divisor sum of 3,401,260, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 7607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,083,048

Proper Divisor Sum 3,401,260

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3681787 ← → #3681791

Radix Representation

Decimal	3681788
Binary	1110000010110111111100 (22 bits)
Octal	0o16026774
Hexadecimal	0x382DFC

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 7,607 15,214 30,428 83,677 167,354 334,708 920,447 1,840,894 3,681,788

Collatz Trajectory (265 steps to reach 1)

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

3,681,788 1,840,894 920,447 2,761,342 1,380,671 4,142,014 2,071,007 6,213,022 3,106,511 9,319,534 4,659,767 13,979,302 6,989,651 20,968,954 10,484,477 31,453,432 15,726,716 7,863,358 3,931,679 11,795,038 5,897,519 17,692,558 8,846,279 26,538,838 13,269,419 39,808,258 19,904,129 59,712,388 29,856,194 14,928,097 44,784,292 22,392,146 11,196,073 33,588,220 16,794,110 8,397,055 25,191,166 12,595,583 37,786,750 18,893,375 56,680,126 28,340,063 85,020,190 42,510,095 127,530,286 63,765,143 191,295,430 95,647,715 286,943,146 143,471,573 430,414,720 215,207,360 107,603,680 53,801,840 26,900,920 13,450,460 6,725,230 3,362,615 10,087,846 5,043,923

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