λ
Sequence Observatory

4,663,288

23 × 7 × 83273
Abundant Even Composite

Starting at 4,663,288, the Collatz iteration reaches 1 after 100 steps. The first transition is 2331644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 83273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,992,880
Proper Divisor Sum 5,329,592
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4663283 ← → #4663289

Radix Representation

Decimal 4663288
Binary 10001110010011111111000 (23 bits)
Octal 0o21623770
Hexadecimal 0x4727F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 83,273 166,546 333,092 582,911 666,184 1,165,822 2,331,644 4,663,288

Collatz Trajectory (100 steps to reach 1)

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

4,663,288 2,331,644 1,165,822 582,911 1,748,734 874,367 2,623,102 1,311,551 3,934,654 1,967,327 5,901,982 2,950,991 8,852,974 4,426,487 13,279,462 6,639,731 19,919,194 9,959,597 29,878,792 14,939,396 7,469,698 3,734,849 11,204,548 5,602,274 2,801,137 8,403,412 4,201,706 2,100,853 6,302,560 3,151,280 1,575,640 787,820 393,910 196,955 590,866 295,433 886,300 443,150 221,575 664,726 332,363 997,090 498,545 1,495,636 747,818 373,909 1,121,728 560,864 280,432 140,216 70,108 35,054 17,527 52,582 26,291 78,874 39,437 118,312 59,156 29,578

More profiles

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