λ
Prime Ledger

3,110,420

22 × 5 × 155521
Abundant Even Composite

3,110,420 has the prime decomposition 2^2 × 5 × 155521. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 155521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,531,924
Proper Divisor Sum 3,421,504
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #3110417 ← → #3110423

Radix Representation

Decimal 3110420
Binary 1011110111011000010100 (22 bits)
Octal 0o13673024
Hexadecimal 0x2F7614

Divisor Catalog (12)

1 2 4 5 10 20 155,521 311,042 622,084 777,605 1,555,210 3,110,420

Collatz Trajectory (76 steps to reach 1)

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

3,110,420 1,555,210 777,605 2,332,816 1,166,408 583,204 291,602 145,801 437,404 218,702 109,351 328,054 164,027 492,082 246,041 738,124 369,062 184,531 553,594 276,797 830,392 415,196 207,598 103,799 311,398 155,699 467,098 233,549 700,648 350,324 175,162 87,581 262,744 131,372 65,686 32,843 98,530 49,265 147,796 73,898 36,949 110,848 55,424 27,712 13,856 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92

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