λ
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Atlas › Integer Profiles › Node 3,800,570

3,800,570

2 × 5 × 19 × 83 × 241
Deficient Even Composite

3,800,570 factors as 2 × 5 × 19 × 83 × 241. Its 32 positive divisors give a proper-divisor sum of 3,517,510, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 83 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,318,080
Proper Divisor Sum 3,517,510
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3800549 ← → #3800579

Radix Representation

Decimal 3800570
Binary 1110011111110111111010 (22 bits)
Octal 0o16376772
Hexadecimal 0x39FDFA

Divisor Catalog (32)

1 2 5 10 19 38 83 95 166 190 241 415 482 830 1,205 1,577 2,410 3,154 4,579 7,885 9,158 15,770 20,003 22,895 40,006 45,790 100,015 200,030 380,057 760,114 1,900,285 3,800,570

Collatz Trajectory (216 steps to reach 1)

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

3,800,570 1,900,285 5,700,856 2,850,428 1,425,214 712,607 2,137,822 1,068,911 3,206,734 1,603,367 4,810,102 2,405,051 7,215,154 3,607,577 10,822,732 5,411,366 2,705,683 8,117,050 4,058,525 12,175,576 6,087,788 3,043,894 1,521,947 4,565,842 2,282,921 6,848,764 3,424,382 1,712,191 5,136,574 2,568,287 7,704,862 3,852,431 11,557,294 5,778,647 17,335,942 8,667,971 26,003,914 13,001,957 39,005,872 19,502,936 9,751,468 4,875,734 2,437,867 7,313,602 3,656,801 10,970,404 5,485,202 2,742,601 8,227,804 4,113,902 2,056,951 6,170,854 3,085,427 9,256,282 4,628,141 13,884,424 6,942,212 3,471,106 1,735,553 5,206,660

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