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Atlas › Integer Profiles › Node 3,917,344

3,917,344

25 × 17 × 19 × 379
Abundant Even Composite

3,917,344 factors as 2^5 × 17 × 19 × 379. Its 48 positive divisors give a proper-divisor sum of 4,701,056, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 19 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,618,400
Proper Divisor Sum 4,701,056
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3917323 ← → #3917411

Radix Representation

Decimal 3917344
Binary 1110111100011000100000 (22 bits)
Octal 0o16743040
Hexadecimal 0x3BC620

Divisor Catalog (48)

1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 379 544 608 646 758 1,292 1,516 2,584 3,032 5,168 6,064 6,443 7,201 10,336 12,128 12,886 14,402 25,772 28,804 51,544 57,608 103,088 115,216 122,417 206,176 230,432 244,834 489,668 979,336 1,958,672 3,917,344

Collatz Trajectory (185 steps to reach 1)

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

3,917,344 1,958,672 979,336 489,668 244,834 122,417 367,252 183,626 91,813 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144

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