3,201,390

2 × 3³ × 5 × 71 × 167

3,201,390 has digital root 9. The neighboring primes are 3201379 and 3201391; its proper-divisor sum differs from the starting integer by 2,306,340.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 71 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 8,709,120

Proper Divisor Sum 5,507,730

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3201379 ← → #3201391

Radix Representation

Decimal	3201390
Binary	1100001101100101101110 (22 bits)
Octal	0o14154556
Hexadecimal	0x30D96E

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 167 213 270 334 355 426 501 639 710 835 1,002 1,065 1,278 1,503 1,670 1,917 2,130 2,505 3,006 3,195 3,834 4,509 5,010 6,390 7,515 9,018 9,585 11,857 15,030 19,170 22,545 23,714 35,571 45,090 59,285 71,142 106,713 118,570 177,855 213,426 320,139 355,710 533,565

Collatz Trajectory (94 steps to reach 1)

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

3,201,390 1,600,695 4,802,086 2,401,043 7,203,130 3,601,565 10,804,696 5,402,348 2,701,174 1,350,587 4,051,762 2,025,881 6,077,644 3,038,822 1,519,411 4,558,234 2,279,117 6,837,352 3,418,676 1,709,338 854,669 2,564,008 1,282,004 641,002 320,501 961,504 480,752 240,376 120,188 60,094 30,047 90,142 45,071 135,214 67,607 202,822 101,411 304,234 152,117 456,352 228,176 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388

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