50,829,200

2⁴ × 5² × 83 × 1531

50,829,200 factors as 2^4 × 5^2 × 83 × 1531. Its 60 positive divisors give a proper-divisor sum of 72,839,968, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 83 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 123,669,168

Proper Divisor Sum 72,839,968

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #50829197 ← → #50829211

Radix Representation

Decimal	50829200
Binary	11000001111001011110010000 (26 bits)
Octal	0o301713620
Hexadecimal	0x3079790

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1,328 1,531 1,660 2,075 3,062 3,320 4,150 6,124 6,640 7,655 8,300 12,248 15,310 16,600 24,496 30,620 33,200 38,275 61,240 76,550 122,480 127,073 153,100 254,146 306,200 508,292 612,400 635,365 1,016,584 1,270,730 2,033,168 2,541,460 3,176,825 5,082,920 6,353,650 10,165,840 12,707,300 25,414,600 50,829,200

Collatz Trajectory (168 steps to reach 1)

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

50,829,200 25,414,600 12,707,300 6,353,650 3,176,825 9,530,476 4,765,238 2,382,619 7,147,858 3,573,929 10,721,788 5,360,894 2,680,447 8,041,342 4,020,671 12,062,014 6,031,007 18,093,022 9,046,511 27,139,534 13,569,767 40,709,302 20,354,651 61,063,954 30,531,977 91,595,932 45,797,966 22,898,983 68,696,950 34,348,475 103,045,426 51,522,713 154,568,140 77,284,070 38,642,035 115,926,106 57,963,053 173,889,160 86,944,580 43,472,290 21,736,145 65,208,436 32,604,218 16,302,109 48,906,328 24,453,164 12,226,582 6,113,291 18,339,874 9,169,937 27,509,812 13,754,906 6,877,453 20,632,360 10,316,180 5,158,090 2,579,045 7,737,136 3,868,568 1,934,284

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