60,200,315

5 × 7 × 17 × 23 × 53 × 83

60,200,315 factors as 5 × 7 × 17 × 23 × 53 × 83. Its 64 positive divisors give a proper-divisor sum of 33,858,181, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 23 × 53 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 94,058,496

Proper Divisor Sum 33,858,181

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #60200299 ← → #60200333

Radix Representation

Decimal	60200315
Binary	11100101101001010101111011 (26 bits)
Octal	0o345512573
Hexadecimal	0x396957B

Divisor Catalog (60 of 64)

1 5 7 17 23 35 53 83 85 115 119 161 265 371 391 415 581 595 805 901 1,219 1,411 1,855 1,909 1,955 2,737 2,905 4,399 4,505 6,095 6,307 7,055 8,533 9,545 9,877 13,363 13,685 20,723 21,995 30,793 31,535 32,453 42,665 49,385 66,815 74,783 101,177 103,615 145,061 153,965 162,265 227,171 373,915 505,885 523,481 708,239 725,305 1,135,855 1,720,009 2,617,405

Collatz Trajectory (207 steps to reach 1)

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

60,200,315 180,600,946 90,300,473 270,901,420 135,450,710 67,725,355 203,176,066 101,588,033 304,764,100 152,382,050 76,191,025 228,573,076 114,286,538 57,143,269 171,429,808 85,714,904 42,857,452 21,428,726 10,714,363 32,143,090 16,071,545 48,214,636 24,107,318 12,053,659 36,160,978 18,080,489 54,241,468 27,120,734 13,560,367 40,681,102 20,340,551 61,021,654 30,510,827 91,532,482 45,766,241 137,298,724 68,649,362 34,324,681 102,974,044 51,487,022 25,743,511 77,230,534 38,615,267 115,845,802 57,922,901 173,768,704 86,884,352 43,442,176 21,721,088 10,860,544 5,430,272 2,715,136 1,357,568 678,784 339,392 169,696 84,848 42,424 21,212 10,606

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