λ
Sequence Observatory

4,540,368

24 × 3 × 7 × 13513
Abundant Even Composite

Starting at 4,540,368, the Collatz iteration reaches 1 after 180 steps. The first transition is 2270184; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13513
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,405,888
Proper Divisor Sum 8,865,520
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4540363 ← → #4540369

Radix Representation

Decimal 4540368
Binary 10001010100011111010000 (23 bits)
Octal 0o21243720
Hexadecimal 0x4547D0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 13,513 27,026 40,539 54,052 81,078 94,591 108,104 162,156 189,182 216,208 283,773 324,312 378,364 567,546 648,624 756,728 1,135,092 1,513,456 2,270,184 4,540,368

Collatz Trajectory (180 steps to reach 1)

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

4,540,368 2,270,184 1,135,092 567,546 283,773 851,320 425,660 212,830 106,415 319,246 159,623 478,870 239,435 718,306 359,153 1,077,460 538,730 269,365 808,096 404,048 202,024 101,012 50,506 25,253 75,760 37,880 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801

More profiles

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