3,672,838

2 × 13 × 141263

3,672,838 factors as 2 × 13 × 141263. Its 8 positive divisors give a proper-divisor sum of 2,260,250, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 13 × 141263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,933,088

Proper Divisor Sum 2,260,250

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3672829 ← → #3672853

Radix Representation

Decimal	3672838
Binary	1110000000101100000110 (22 bits)
Octal	0o16005406
Hexadecimal	0x380B06

Divisor Catalog (8)

1 2 13 26 141,263 282,526 1,836,419 3,672,838

Collatz Trajectory (203 steps to reach 1)

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

3,672,838 1,836,419 5,509,258 2,754,629 8,263,888 4,131,944 2,065,972 1,032,986 516,493 1,549,480 774,740 387,370 193,685 581,056 290,528 145,264 72,632 36,316 18,158 9,079 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327

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