λ
Sequence Observatory

4,366,488

23 × 3 × 72 × 47 × 79
Abundant Even Composite

Starting at 4,366,488, the Collatz iteration reaches 1 after 136 steps. The first transition is 2183244; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 47 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 8,766,312
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4366477 ← → #4366493

Radix Representation

Decimal 4366488
Binary 10000101010000010011000 (23 bits)
Octal 0o20520230
Hexadecimal 0x42A098

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 79 84 94 98 141 147 158 168 188 196 237 282 294 316 329 376 392 474 553 564 588 632 658 948 987 1,106 1,128 1,176 1,316 1,659 1,896 1,974 2,212 2,303 2,632 3,318 3,713 3,871 3,948 4,424 4,606 6,636 6,909 7,426

Collatz Trajectory (136 steps to reach 1)

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

4,366,488 2,183,244 1,091,622 545,811 1,637,434 818,717 2,456,152 1,228,076 614,038 307,019 921,058 460,529 1,381,588 690,794 345,397 1,036,192 518,096 259,048 129,524 64,762 32,381 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210

More profiles

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