λ
Integer Codex

3,365,904

24 × 3 × 70123
Abundant Even Composite

For 3,365,904, the 20 positive divisors have a total of 8,695,376. Removing 3,365,904 leaves 5,329,472, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 70123
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,695,376
Proper Divisor Sum 5,329,472
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3365893 ← → #3365909

Radix Representation

Decimal 3365904
Binary 1100110101110000010000 (22 bits)
Octal 0o14656020
Hexadecimal 0x335C10

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 70,123 140,246 210,369 280,492 420,738 560,984 841,476 1,121,968 1,682,952 3,365,904

Collatz Trajectory (71 steps to reach 1)

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

3,365,904 1,682,952 841,476 420,738 210,369 631,108 315,554 157,777 473,332 236,666 118,333 355,000 177,500 88,750 44,375 133,126 66,563 199,690 99,845 299,536 149,768 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17

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