3,209,733

3³ × 53 × 2243

3,209,733 factors as 3^3 × 53 × 2243. Its 16 positive divisors give a proper-divisor sum of 1,637,307, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3^3 × 53 × 2243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,847,040

Proper Divisor Sum 1,637,307

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3209699 ← → #3209741

Radix Representation

Decimal	3209733
Binary	1100001111101000000101 (22 bits)
Octal	0o14175005
Hexadecimal	0x30FA05

Divisor Catalog (16)

1 3 9 27 53 159 477 1,431 2,243 6,729 20,187 60,561 118,879 356,637 1,069,911 3,209,733

Collatz Trajectory (239 steps to reach 1)

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

3,209,733 9,629,200 4,814,600 2,407,300 1,203,650 601,825 1,805,476 902,738 451,369 1,354,108 677,054 338,527 1,015,582 507,791 1,523,374 761,687 2,285,062 1,142,531 3,427,594 1,713,797 5,141,392 2,570,696 1,285,348 642,674 321,337 964,012 482,006 241,003 723,010 361,505 1,084,516 542,258 271,129 813,388 406,694 203,347 610,042 305,021 915,064 457,532 228,766 114,383 343,150 171,575 514,726 257,363 772,090 386,045 1,158,136 579,068 289,534 144,767 434,302 217,151 651,454 325,727 977,182 488,591 1,465,774 732,887

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