λ
Prime Ledger

1,616,442

2 × 3 × 67 × 4021
Abundant Even Composite

1,616,442 has the prime decomposition 2 × 3 × 67 × 4021. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 4021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,281,952
Proper Divisor Sum 1,665,510
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1616437 ← → #1616443

Radix Representation

Decimal 1616442
Binary 110001010101000111010 (21 bits)
Octal 0o6125072
Hexadecimal 0x18AA3A

Divisor Catalog (16)

1 2 3 6 67 134 201 402 4,021 8,042 12,063 24,126 269,407 538,814 808,221 1,616,442

Collatz Trajectory (238 steps to reach 1)

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

1,616,442 808,221 2,424,664 1,212,332 606,166 303,083 909,250 454,625 1,363,876 681,938 340,969 1,022,908 511,454 255,727 767,182 383,591 1,150,774 575,387 1,726,162 863,081 2,589,244 1,294,622 647,311 1,941,934 970,967 2,912,902 1,456,451 4,369,354 2,184,677 6,554,032 3,277,016 1,638,508 819,254 409,627 1,228,882 614,441 1,843,324 921,662 460,831 1,382,494 691,247 2,073,742 1,036,871 3,110,614 1,555,307 4,665,922 2,332,961 6,998,884 3,499,442 1,749,721 5,249,164 2,624,582 1,312,291 3,936,874 1,968,437 5,905,312 2,952,656 1,476,328 738,164 369,082

More profiles

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