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Atlas › Integer Profiles › Node 3,916,840

3,916,840

23 × 5 × 181 × 541
Abundant Even Composite

3,916,840 factors as 2^3 × 5 × 181 × 541. Its 32 positive divisors give a proper-divisor sum of 4,961,120, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 181 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,877,960
Proper Divisor Sum 4,961,120
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3916813 ← → #3916849

Radix Representation

Decimal 3916840
Binary 1110111100010000101000 (22 bits)
Octal 0o16742050
Hexadecimal 0x3BC428

Divisor Catalog (32)

1 2 4 5 8 10 20 40 181 362 541 724 905 1,082 1,448 1,810 2,164 2,705 3,620 4,328 5,410 7,240 10,820 21,640 97,921 195,842 391,684 489,605 783,368 979,210 1,958,420 3,916,840

Collatz Trajectory (92 steps to reach 1)

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

3,916,840 1,958,420 979,210 489,605 1,468,816 734,408 367,204 183,602 91,801 275,404 137,702 68,851 206,554 103,277 309,832 154,916 77,458 38,729 116,188 58,094 29,047 87,142 43,571 130,714 65,357 196,072 98,036 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692

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