3,672,428

2² × 109 × 8423

3,672,428 factors as 2^2 × 109 × 8423. Its 12 positive divisors give a proper-divisor sum of 2,814,052, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 109 × 8423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,486,480

Proper Divisor Sum 2,814,052

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3672421 ← → #3672437

Radix Representation

Decimal	3672428
Binary	1110000000100101101100 (22 bits)
Octal	0o16004554
Hexadecimal	0x38096C

Divisor Catalog (12)

1 2 4 109 218 436 8,423 16,846 33,692 918,107 1,836,214 3,672,428

Collatz Trajectory (172 steps to reach 1)

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

3,672,428 1,836,214 918,107 2,754,322 1,377,161 4,131,484 2,065,742 1,032,871 3,098,614 1,549,307 4,647,922 2,323,961 6,971,884 3,485,942 1,742,971 5,228,914 2,614,457 7,843,372 3,921,686 1,960,843 5,882,530 2,941,265 8,823,796 4,411,898 2,205,949 6,617,848 3,308,924 1,654,462 827,231 2,481,694 1,240,847 3,722,542 1,861,271 5,583,814 2,791,907 8,375,722 4,187,861 12,563,584 6,281,792 3,140,896 1,570,448 785,224 392,612 196,306 98,153 294,460 147,230 73,615 220,846 110,423 331,270 165,635 496,906 248,453 745,360 372,680 186,340 93,170 46,585 139,756

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