λ
Sequence Observatory

4,546,912

25 × 151 × 941
Deficient Even Composite

Starting at 4,546,912, the Collatz iteration reaches 1 after 216 steps. The first transition is 2273456; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 151 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,020,592
Proper Divisor Sum 4,473,680
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4546903 ← → #4546931

Radix Representation

Decimal 4546912
Binary 10001010110000101100000 (23 bits)
Octal 0o21260540
Hexadecimal 0x456160

Divisor Catalog (24)

1 2 4 8 16 32 151 302 604 941 1,208 1,882 2,416 3,764 4,832 7,528 15,056 30,112 142,091 284,182 568,364 1,136,728 2,273,456 4,546,912

Collatz Trajectory (216 steps to reach 1)

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

4,546,912 2,273,456 1,136,728 568,364 284,182 142,091 426,274 213,137 639,412 319,706 159,853 479,560 239,780 119,890 59,945 179,836 89,918 44,959 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841

More profiles

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