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Atlas › Integer Profiles › Node 14,101,000

14,101,000

23 × 53 × 59 × 239
Abundant Even Composite

14,101,000 factors as 2^3 × 5^3 × 59 × 239. Its 64 positive divisors give a proper-divisor sum of 19,595,000, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 59 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 33,696,000
Proper Divisor Sum 19,595,000
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #14100991 ← → #14101019

Radix Representation

Decimal 14101000
Binary 110101110010101000001000 (24 bits)
Octal 0o65625010
Hexadecimal 0xD72A08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 239 250 295 472 478 500 590 956 1,000 1,180 1,195 1,475 1,912 2,360 2,390 2,950 4,780 5,900 5,975 7,375 9,560 11,800 11,950 14,101 14,750 23,900 28,202 29,500 29,875 47,800 56,404 59,000 59,750 70,505 112,808 119,500 141,010 239,000 282,020 352,525 564,040 705,050 1,410,100 1,762,625

Collatz Trajectory (161 steps to reach 1)

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

14,101,000 7,050,500 3,525,250 1,762,625 5,287,876 2,643,938 1,321,969 3,965,908 1,982,954 991,477 2,974,432 1,487,216 743,608 371,804 185,902 92,951 278,854 139,427 418,282 209,141 627,424 313,712 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71

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