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Atlas › Integer Profiles › Node 3,229,779

3,229,779

3 × 7 × 17 × 83 × 109
Deficient Odd Composite

3,229,779 factors as 3 × 7 × 17 × 83 × 109. Its 32 positive divisors give a proper-divisor sum of 2,092,461, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 83 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 2,092,461
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3229769 ← → #3229781

Radix Representation

Decimal 3229779
Binary 1100010100100001010011 (22 bits)
Octal 0o14244123
Hexadecimal 0x314853

Divisor Catalog (32)

1 3 7 17 21 51 83 109 119 249 327 357 581 763 1,411 1,743 1,853 2,289 4,233 5,559 9,047 9,877 12,971 27,141 29,631 38,913 63,329 153,799 189,987 461,397 1,076,593 3,229,779

Collatz Trajectory (102 steps to reach 1)

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

3,229,779 9,689,338 4,844,669 14,534,008 7,267,004 3,633,502 1,816,751 5,450,254 2,725,127 8,175,382 4,087,691 12,263,074 6,131,537 18,394,612 9,197,306 4,598,653 13,795,960 6,897,980 3,448,990 1,724,495 5,173,486 2,586,743 7,760,230 3,880,115 11,640,346 5,820,173 17,460,520 8,730,260 4,365,130 2,182,565 6,547,696 3,273,848 1,636,924 818,462 409,231 1,227,694 613,847 1,841,542 920,771 2,762,314 1,381,157 4,143,472 2,071,736 1,035,868 517,934 258,967 776,902 388,451 1,165,354 582,677 1,748,032 874,016 437,008 218,504 109,252 54,626 27,313 81,940 40,970 20,485

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