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Atlas › Integer Profiles › Node 24,200,065

24,200,065

5 × 29 × 47 × 53 × 67
Deficient Odd Composite

24,200,065 factors as 5 × 29 × 47 × 53 × 67. Its 32 positive divisors give a proper-divisor sum of 7,526,015, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 5 × 29 × 47 × 53 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,726,080
Proper Divisor Sum 7,526,015
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #24200063 ← → #24200081

Radix Representation

Decimal 24200065
Binary 1011100010100001110000001 (25 bits)
Octal 0o134241601
Hexadecimal 0x1714381

Divisor Catalog (32)

1 5 29 47 53 67 145 235 265 335 1,363 1,537 1,943 2,491 3,149 3,551 6,815 7,685 9,715 12,455 15,745 17,755 72,239 91,321 102,979 166,897 361,195 456,605 514,895 834,485 4,840,013 24,200,065

Collatz Trajectory (260 steps to reach 1)

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

24,200,065 72,600,196 36,300,098 18,150,049 54,450,148 27,225,074 13,612,537 40,837,612 20,418,806 10,209,403 30,628,210 15,314,105 45,942,316 22,971,158 11,485,579 34,456,738 17,228,369 51,685,108 25,842,554 12,921,277 38,763,832 19,381,916 9,690,958 4,845,479 14,536,438 7,268,219 21,804,658 10,902,329 32,706,988 16,353,494 8,176,747 24,530,242 12,265,121 36,795,364 18,397,682 9,198,841 27,596,524 13,798,262 6,899,131 20,697,394 10,348,697 31,046,092 15,523,046 7,761,523 23,284,570 11,642,285 34,926,856 17,463,428 8,731,714 4,365,857 13,097,572 6,548,786 3,274,393 9,823,180 4,911,590 2,455,795 7,367,386 3,683,693 11,051,080 5,525,540

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