λ
Prime Ledger

3,698,474

2 × 13 × 59 × 2411
Deficient Even Composite

3,698,474 has the prime decomposition 2 × 13 × 59 × 2411. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 59 × 2411
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,078,240
Proper Divisor Sum 2,379,766
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3698447 ← → #3698489

Radix Representation

Decimal 3698474
Binary 1110000110111100101010 (22 bits)
Octal 0o16067452
Hexadecimal 0x386F2A

Divisor Catalog (16)

1 2 13 26 59 118 767 1,534 2,411 4,822 31,343 62,686 142,249 284,498 1,849,237 3,698,474

Collatz Trajectory (159 steps to reach 1)

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

3,698,474 1,849,237 5,547,712 2,773,856 1,386,928 693,464 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204 263,602 131,801 395,404 197,702 98,851 296,554 148,277 444,832 222,416 111,208 55,604 27,802 13,901 41,704 20,852 10,426 5,213 15,640 7,820 3,910

More profiles

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