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Atlas › Integer Profiles › Node 3,922,074

3,922,074

2 × 33 × 13 × 37 × 151
Abundant Even Composite

3,922,074 factors as 2 × 3^3 × 13 × 37 × 151. Its 64 positive divisors give a proper-divisor sum of 5,781,606, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 37 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,703,680
Proper Divisor Sum 5,781,606
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3922067 ← → #3922081

Radix Representation

Decimal 3922074
Binary 1110111101100010011010 (22 bits)
Octal 0o16754232
Hexadecimal 0x3BD89A

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 151 222 234 302 333 351 453 481 666 702 906 962 999 1,359 1,443 1,963 1,998 2,718 2,886 3,926 4,077 4,329 5,587 5,889 8,154 8,658 11,174 11,778 12,987 16,761 17,667 25,974 33,522 35,334 50,283 53,001 72,631 100,566 106,002 145,262 150,849 217,893 301,698 435,786

Collatz Trajectory (185 steps to reach 1)

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

3,922,074 1,961,037 5,883,112 2,941,556 1,470,778 735,389 2,206,168 1,103,084 551,542 275,771 827,314 413,657 1,240,972 620,486 310,243 930,730 465,365 1,396,096 698,048 349,024 174,512 87,256 43,628 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148

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