3,691,340

2² × 5 × 184567

3,691,340 factors as 2^2 × 5 × 184567. Its 12 positive divisors give a proper-divisor sum of 4,060,516, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 184567

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,751,856

Proper Divisor Sum 4,060,516

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3691327 ← → #3691343

Radix Representation

Decimal	3691340
Binary	1110000101001101001100 (22 bits)
Octal	0o16051514
Hexadecimal	0x38534C

Divisor Catalog (12)

1 2 4 5 10 20 184,567 369,134 738,268 922,835 1,845,670 3,691,340

Collatz Trajectory (159 steps to reach 1)

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

3,691,340 1,845,670 922,835 2,768,506 1,384,253 4,152,760 2,076,380 1,038,190 519,095 1,557,286 778,643 2,335,930 1,167,965 3,503,896 1,751,948 875,974 437,987 1,313,962 656,981 1,970,944 985,472 492,736 246,368 123,184 61,592 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905

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