λ
Prime Ledger

4,912,112

24 × 337 × 911
Deficient Even Composite

4,912,112 has the prime decomposition 2^4 × 337 × 911. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 337 × 911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,555,936
Proper Divisor Sum 4,643,824
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4912091 ← → #4912151

Radix Representation

Decimal 4912112
Binary 10010101111001111110000 (23 bits)
Octal 0o22571760
Hexadecimal 0x4AF3F0

Divisor Catalog (20)

1 2 4 8 16 337 674 911 1,348 1,822 2,696 3,644 5,392 7,288 14,576 307,007 614,014 1,228,028 2,456,056 4,912,112

Collatz Trajectory (144 steps to reach 1)

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

4,912,112 2,456,056 1,228,028 614,014 307,007 921,022 460,511 1,381,534 690,767 2,072,302 1,036,151 3,108,454 1,554,227 4,662,682 2,331,341 6,994,024 3,497,012 1,748,506 874,253 2,622,760 1,311,380 655,690 327,845 983,536 491,768 245,884 122,942 61,471 184,414 92,207 276,622 138,311 414,934 207,467 622,402 311,201 933,604 466,802 233,401 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157

More profiles

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