5,216,688

2⁴ × 3² × 17 × 2131

5,216,688 has the prime decomposition 2^4 × 3^2 × 17 × 2131. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 2131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 15,465,528

Proper Divisor Sum 10,248,840

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5216683 ← → #5216689

Radix Representation

Decimal	5216688
Binary	10011111001100110110000 (23 bits)
Octal	0o23714660
Hexadecimal	0x4F99B0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1,224 2,131 2,448 4,262 6,393 8,524 12,786 17,048 19,179 25,572 34,096 36,227 38,358 51,144 72,454 76,716 102,288 108,681 144,908 153,432 217,362 289,816 306,864 326,043 434,724 579,632 652,086 869,448 1,304,172 1,738,896 2,608,344 5,216,688

Collatz Trajectory (131 steps to reach 1)

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

5,216,688 2,608,344 1,304,172 652,086 326,043 978,130 489,065 1,467,196 733,598 366,799 1,100,398 550,199 1,650,598 825,299 2,475,898 1,237,949 3,713,848 1,856,924 928,462 464,231 1,392,694 696,347 2,089,042 1,044,521 3,133,564 1,566,782 783,391 2,350,174 1,175,087 3,525,262 1,762,631 5,287,894 2,643,947 7,931,842 3,965,921 11,897,764 5,948,882 2,974,441 8,923,324 4,461,662 2,230,831 6,692,494 3,346,247 10,038,742 5,019,371 15,058,114 7,529,057 22,587,172 11,293,586 5,646,793 16,940,380 8,470,190 4,235,095 12,705,286 6,352,643 19,057,930 9,528,965 28,586,896 14,293,448 7,146,724

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