3,802,023

3² × 227 × 1861

3,802,023 factors as 3^2 × 227 × 1861. Its 12 positive divisors give a proper-divisor sum of 1,716,945, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 3^2 × 227 × 1861

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,518,968

Proper Divisor Sum 1,716,945

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3802003 ← → #3802027

Radix Representation

Decimal	3802023
Binary	1110100000001110100111 (22 bits)
Octal	0o16401647
Hexadecimal	0x3A03A7

Divisor Catalog (12)

1 3 9 227 681 1,861 2,043 5,583 16,749 422,447 1,267,341 3,802,023

Collatz Trajectory (190 steps to reach 1)

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

3,802,023 11,406,070 5,703,035 17,109,106 8,554,553 25,663,660 12,831,830 6,415,915 19,247,746 9,623,873 28,871,620 14,435,810 7,217,905 21,653,716 10,826,858 5,413,429 16,240,288 8,120,144 4,060,072 2,030,036 1,015,018 507,509 1,522,528 761,264 380,632 190,316 95,158 47,579 142,738 71,369 214,108 107,054 53,527 160,582 80,291 240,874 120,437 361,312 180,656 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706

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