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Atlas › Integer Profiles › Node 3,375,730

3,375,730

2 × 5 × 19 × 109 × 163
Deficient Even Composite

3,375,730 factors as 2 × 5 × 19 × 109 × 163. Its 32 positive divisors give a proper-divisor sum of 3,118,670, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 109 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,494,400
Proper Divisor Sum 3,118,670
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3375721 ← → #3375731

Radix Representation

Decimal 3375730
Binary 1100111000001001110010 (22 bits)
Octal 0o14701162
Hexadecimal 0x338272

Divisor Catalog (32)

1 2 5 10 19 38 95 109 163 190 218 326 545 815 1,090 1,630 2,071 3,097 4,142 6,194 10,355 15,485 17,767 20,710 30,970 35,534 88,835 177,670 337,573 675,146 1,687,865 3,375,730

Collatz Trajectory (239 steps to reach 1)

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

3,375,730 1,687,865 5,063,596 2,531,798 1,265,899 3,797,698 1,898,849 5,696,548 2,848,274 1,424,137 4,272,412 2,136,206 1,068,103 3,204,310 1,602,155 4,806,466 2,403,233 7,209,700 3,604,850 1,802,425 5,407,276 2,703,638 1,351,819 4,055,458 2,027,729 6,083,188 3,041,594 1,520,797 4,562,392 2,281,196 1,140,598 570,299 1,710,898 855,449 2,566,348 1,283,174 641,587 1,924,762 962,381 2,887,144 1,443,572 721,786 360,893 1,082,680 541,340 270,670 135,335 406,006 203,003 609,010 304,505 913,516 456,758 228,379 685,138 342,569 1,027,708 513,854 256,927 770,782

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