4,626,216

2³ × 3² × 7 × 67 × 137

4,626,216 has the prime decomposition 2^3 × 3^2 × 7 × 67 × 137. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 67 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,639,040

Proper Divisor Sum 10,012,824

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4626203 ← → #4626217

Radix Representation

Decimal	4626216
Binary	10001101001011100101000 (23 bits)
Octal	0o21513450
Hexadecimal	0x469728

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 137 168 201 252 268 274 402 411 469 504 536 548 603 804 822 938 959 1,096 1,206 1,233 1,407 1,608 1,644 1,876 1,918 2,412 2,466 2,814 2,877 3,288 3,752 3,836 4,221 4,824 4,932 5,628 5,754

Collatz Trajectory (237 steps to reach 1)

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

4,626,216 2,313,108 1,156,554 578,277 1,734,832 867,416 433,708 216,854 108,427 325,282 162,641 487,924 243,962 121,981 365,944 182,972 91,486 45,743 137,230 68,615 205,846 102,923 308,770 154,385 463,156 231,578 115,789 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348

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