λ
Prime Ledger

4,082,704

24 × 109 × 2341
Deficient Even Composite

4,082,704 has the prime decomposition 2^4 × 109 × 2341. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 109 × 2341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,986,220
Proper Divisor Sum 3,903,516
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4082693 ← → #4082711

Radix Representation

Decimal 4082704
Binary 1111100100110000010000 (22 bits)
Octal 0o17446020
Hexadecimal 0x3E4C10

Divisor Catalog (20)

1 2 4 8 16 109 218 436 872 1,744 2,341 4,682 9,364 18,728 37,456 255,169 510,338 1,020,676 2,041,352 4,082,704

Collatz Trajectory (154 steps to reach 1)

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

4,082,704 2,041,352 1,020,676 510,338 255,169 765,508 382,754 191,377 574,132 287,066 143,533 430,600 215,300 107,650 53,825 161,476 80,738 40,369 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

More profiles

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