λ
Prime Ledger

2,424,440

23 × 5 × 60611
Abundant Even Composite

2,424,440 has the prime decomposition 2^3 × 5 × 60611. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 60611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,455,080
Proper Divisor Sum 3,030,640
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2424439 ← → #2424481

Radix Representation

Decimal 2424440
Binary 1001001111111001111000 (22 bits)
Octal 0o11177170
Hexadecimal 0x24FE78

Divisor Catalog (16)

1 2 4 5 8 10 20 40 60,611 121,222 242,444 303,055 484,888 606,110 1,212,220 2,424,440

Collatz Trajectory (161 steps to reach 1)

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

2,424,440 1,212,220 606,110 303,055 909,166 454,583 1,363,750 681,875 2,045,626 1,022,813 3,068,440 1,534,220 767,110 383,555 1,150,666 575,333 1,726,000 863,000 431,500 215,750 107,875 323,626 161,813 485,440 242,720 121,360 60,680 30,340 15,170 7,585 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430

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