λ
Prime Ledger

3,371,018

2 × 7 × 192 × 23 × 29
Deficient Even Composite

3,371,018 has the prime decomposition 2 × 7 × 19^2 × 23 × 29. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 19^2 × 23 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,583,680
Proper Divisor Sum 3,212,662
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3370993 ← → #3371059

Radix Representation

Decimal 3371018
Binary 1100110111000000001010 (22 bits)
Octal 0o14670012
Hexadecimal 0x33700A

Divisor Catalog (48)

1 2 7 14 19 23 29 38 46 58 133 161 203 266 322 361 406 437 551 667 722 874 1,102 1,334 2,527 3,059 3,857 4,669 5,054 6,118 7,714 8,303 9,338 10,469 12,673 16,606 20,938 25,346 58,121 73,283 88,711 116,242 146,566 177,422 240,787 481,574 1,685,509 3,371,018

Collatz Trajectory (221 steps to reach 1)

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

3,371,018 1,685,509 5,056,528 2,528,264 1,264,132 632,066 316,033 948,100 474,050 237,025 711,076 355,538 177,769 533,308 266,654 133,327 399,982 199,991 599,974 299,987 899,962 449,981 1,349,944 674,972 337,486 168,743 506,230 253,115 759,346 379,673 1,139,020 569,510 284,755 854,266 427,133 1,281,400 640,700 320,350 160,175 480,526 240,263 720,790 360,395 1,081,186 540,593 1,621,780 810,890 405,445 1,216,336 608,168 304,084 152,042 76,021 228,064 114,032 57,016 28,508 14,254 7,127 21,382

More profiles

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