λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,353,385

3,353,385

3 × 5 × 7 × 109 × 293
Deficient Odd Composite

3,353,385 factors as 3 × 5 × 7 × 109 × 293. Its 32 positive divisors give a proper-divisor sum of 2,855,895, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 109 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,209,280
Proper Divisor Sum 2,855,895
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3353381 ← → #3353393

Radix Representation

Decimal 3353385
Binary 1100110010101100101001 (22 bits)
Octal 0o14625451
Hexadecimal 0x332B29

Divisor Catalog (32)

1 3 5 7 15 21 35 105 109 293 327 545 763 879 1,465 1,635 2,051 2,289 3,815 4,395 6,153 10,255 11,445 30,765 31,937 95,811 159,685 223,559 479,055 670,677 1,117,795 3,353,385

Collatz Trajectory (208 steps to reach 1)

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

3,353,385 10,060,156 5,030,078 2,515,039 7,545,118 3,772,559 11,317,678 5,658,839 16,976,518 8,488,259 25,464,778 12,732,389 38,197,168 19,098,584 9,549,292 4,774,646 2,387,323 7,161,970 3,580,985 10,742,956 5,371,478 2,685,739 8,057,218 4,028,609 12,085,828 6,042,914 3,021,457 9,064,372 4,532,186 2,266,093 6,798,280 3,399,140 1,699,570 849,785 2,549,356 1,274,678 637,339 1,912,018 956,009 2,868,028 1,434,014 717,007 2,151,022 1,075,511 3,226,534 1,613,267 4,839,802 2,419,901 7,259,704 3,629,852 1,814,926 907,463 2,722,390 1,361,195 4,083,586 2,041,793 6,125,380 3,062,690 1,531,345 4,594,036

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,353,384 Browse Full Index Next Integer #3,353,386 →