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Atlas › Integer Profiles › Node 3,904,146

3,904,146

2 × 33 × 197 × 367
Abundant Even Composite

3,904,146 factors as 2 × 3^3 × 197 × 367. Its 32 positive divisors give a proper-divisor sum of 4,839,534, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 197 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,743,680
Proper Divisor Sum 4,839,534
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3904141 ← → #3904189

Radix Representation

Decimal 3904146
Binary 1110111001001010010010 (22 bits)
Octal 0o16711222
Hexadecimal 0x3B9292

Divisor Catalog (32)

1 2 3 6 9 18 27 54 197 367 394 591 734 1,101 1,182 1,773 2,202 3,303 3,546 5,319 6,606 9,909 10,638 19,818 72,299 144,598 216,897 433,794 650,691 1,301,382 1,952,073 3,904,146

Collatz Trajectory (229 steps to reach 1)

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

3,904,146 1,952,073 5,856,220 2,928,110 1,464,055 4,392,166 2,196,083 6,588,250 3,294,125 9,882,376 4,941,188 2,470,594 1,235,297 3,705,892 1,852,946 926,473 2,779,420 1,389,710 694,855 2,084,566 1,042,283 3,126,850 1,563,425 4,690,276 2,345,138 1,172,569 3,517,708 1,758,854 879,427 2,638,282 1,319,141 3,957,424 1,978,712 989,356 494,678 247,339 742,018 371,009 1,113,028 556,514 278,257 834,772 417,386 208,693 626,080 313,040 156,520 78,260 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766

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