3,752,067

3 × 11 × 67 × 1697

3,752,067 has digital root 3. The neighboring primes are 3752039 and 3752069; its proper-divisor sum differs from the starting integer by -1,961,862.

Prime Factor Structure

Factorization String 3 × 11 × 67 × 1697

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,542,272

Proper Divisor Sum 1,790,205

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3752039 ← → #3752069

Radix Representation

Decimal	3752067
Binary	1110010100000010000011 (22 bits)
Octal	0o16240203
Hexadecimal	0x394083

Divisor Catalog (16)

1 3 11 33 67 201 737 1,697 2,211 5,091 18,667 56,001 113,699 341,097 1,250,689 3,752,067

Collatz Trajectory (185 steps to reach 1)

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

3,752,067 11,256,202 5,628,101 16,884,304 8,442,152 4,221,076 2,110,538 1,055,269 3,165,808 1,582,904 791,452 395,726 197,863 593,590 296,795 890,386 445,193 1,335,580 667,790 333,895 1,001,686 500,843 1,502,530 751,265 2,253,796 1,126,898 563,449 1,690,348 845,174 422,587 1,267,762 633,881 1,901,644 950,822 475,411 1,426,234 713,117 2,139,352 1,069,676 534,838 267,419 802,258 401,129 1,203,388 601,694 300,847 902,542 451,271 1,353,814 676,907 2,030,722 1,015,361 3,046,084 1,523,042 761,521 2,284,564 1,142,282 571,141 1,713,424 856,712

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