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Atlas › Integer Profiles › Node 3,961,600

3,961,600

28 × 52 × 619
Abundant Even Composite

3,961,600 factors as 2^8 × 5^2 × 619. Its 54 positive divisors give a proper-divisor sum of 5,859,820, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^8 × 5^2 × 619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 9,821,420
Proper Divisor Sum 5,859,820
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3961597 ← → #3961609

Radix Representation

Decimal 3961600
Binary 1111000111001100000000 (22 bits)
Octal 0o17071400
Hexadecimal 0x3C7300

Divisor Catalog (54)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 619 640 800 1,238 1,280 1,600 2,476 3,095 3,200 4,952 6,190 6,400 9,904 12,380 15,475 19,808 24,760 30,950 39,616 49,520 61,900 79,232 99,040 123,800 158,464 198,080 247,600 396,160 495,200 792,320 990,400 1,980,800 3,961,600

Collatz Trajectory (185 steps to reach 1)

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

3,961,600 1,980,800 990,400 495,200 247,600 123,800 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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