λ
Prime Ledger

3,496,611

3 × 172 × 37 × 109
Deficient Odd Composite

3,496,611 has the prime decomposition 3 × 17^2 × 37 × 109. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 37 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,133,040
Proper Divisor Sum 1,636,429
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3496609 ← → #3496613

Radix Representation

Decimal 3496611
Binary 1101010101101010100011 (22 bits)
Octal 0o15255243
Hexadecimal 0x355AA3

Divisor Catalog (24)

1 3 17 37 51 109 111 289 327 629 867 1,853 1,887 4,033 5,559 10,693 12,099 31,501 32,079 68,561 94,503 205,683 1,165,537 3,496,611

Collatz Trajectory (115 steps to reach 1)

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

3,496,611 10,489,834 5,244,917 15,734,752 7,867,376 3,933,688 1,966,844 983,422 491,711 1,475,134 737,567 2,212,702 1,106,351 3,319,054 1,659,527 4,978,582 2,489,291 7,467,874 3,733,937 11,201,812 5,600,906 2,800,453 8,401,360 4,200,680 2,100,340 1,050,170 525,085 1,575,256 787,628 393,814 196,907 590,722 295,361 886,084 443,042 221,521 664,564 332,282 166,141 498,424 249,212 124,606 62,303 186,910 93,455 280,366 140,183 420,550 210,275 630,826 315,413 946,240 473,120 236,560 118,280 59,140 29,570 14,785 44,356 22,178

More profiles

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