5,454,450

2 × 3² × 5² × 17 × 23 × 31

5,454,450 factors as 2 × 3^2 × 5^2 × 17 × 23 × 31. Its 144 positive divisors give a proper-divisor sum of 11,258,766, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 17 × 23 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 16,713,216

Proper Divisor Sum 11,258,766

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5454439 ← → #5454451

Radix Representation

Decimal	5454450
Binary	10100110011101001110010 (23 bits)
Octal	0o24635162
Hexadecimal	0x533A72

Divisor Catalog (60 of 144)

1 2 3 5 6 9 10 15 17 18 23 25 30 31 34 45 46 50 51 62 69 75 85 90 93 102 115 138 150 153 155 170 186 207 225 230 255 279 306 310 345 391 414 425 450 465 510 527 558 575 690 713 765 775 782 850 930 1,035 1,054 1,150

Collatz Trajectory (170 steps to reach 1)

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

5,454,450 2,727,225 8,181,676 4,090,838 2,045,419 6,136,258 3,068,129 9,204,388 4,602,194 2,301,097 6,903,292 3,451,646 1,725,823 5,177,470 2,588,735 7,766,206 3,883,103 11,649,310 5,824,655 17,473,966 8,736,983 26,210,950 13,105,475 39,316,426 19,658,213 58,974,640 29,487,320 14,743,660 7,371,830 3,685,915 11,057,746 5,528,873 16,586,620 8,293,310 4,146,655 12,439,966 6,219,983 18,659,950 9,329,975 27,989,926 13,994,963 41,984,890 20,992,445 62,977,336 31,488,668 15,744,334 7,872,167 23,616,502 11,808,251 35,424,754 17,712,377 53,137,132 26,568,566 13,284,283 39,852,850 19,926,425 59,779,276 29,889,638 14,944,819 44,834,458

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