λ
Prime Ledger

3,392,824

23 × 424103
Deficient Even Composite

3,392,824 has the prime decomposition 2^3 × 424103. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 424103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,361,560
Proper Divisor Sum 2,968,736
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3392803 ← → #3392827

Radix Representation

Decimal 3392824
Binary 1100111100010100111000 (22 bits)
Octal 0o14742470
Hexadecimal 0x33C538

Divisor Catalog (8)

1 2 4 8 424,103 848,206 1,696,412 3,392,824

Collatz Trajectory (133 steps to reach 1)

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

3,392,824 1,696,412 848,206 424,103 1,272,310 636,155 1,908,466 954,233 2,862,700 1,431,350 715,675 2,147,026 1,073,513 3,220,540 1,610,270 805,135 2,415,406 1,207,703 3,623,110 1,811,555 5,434,666 2,717,333 8,152,000 4,076,000 2,038,000 1,019,000 509,500 254,750 127,375 382,126 191,063 573,190 286,595 859,786 429,893 1,289,680 644,840 322,420 161,210 80,605 241,816 120,908 60,454 30,227 90,682 45,341 136,024 68,012 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521

More profiles

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