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Atlas › Integer Profiles › Node 4,753,485

4,753,485

34 × 5 × 112 × 97
Deficient Odd Composite

4,753,485 factors as 3^4 × 5 × 11^2 × 97. Its 60 positive divisors give a proper-divisor sum of 4,709,199, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 11^2 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,462,684
Proper Divisor Sum 4,709,199
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4753459 ← → #4753537

Radix Representation

Decimal 4753485
Binary 10010001000100001001101 (23 bits)
Octal 0o22104115
Hexadecimal 0x48884D

Divisor Catalog (60)

1 3 5 9 11 15 27 33 45 55 81 97 99 121 135 165 291 297 363 405 485 495 605 873 891 1,067 1,089 1,455 1,485 1,815 2,619 3,201 3,267 4,365 4,455 5,335 5,445 7,857 9,603 9,801 11,737 13,095 16,005 16,335 28,809 35,211 39,285 48,015 49,005 58,685 86,427 105,633 144,045 176,055 316,899 432,135 528,165 950,697 1,584,495 4,753,485

Collatz Trajectory (175 steps to reach 1)

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

4,753,485 14,260,456 7,130,228 3,565,114 1,782,557 5,347,672 2,673,836 1,336,918 668,459 2,005,378 1,002,689 3,008,068 1,504,034 752,017 2,256,052 1,128,026 564,013 1,692,040 846,020 423,010 211,505 634,516 317,258 158,629 475,888 237,944 118,972 59,486 29,743 89,230 44,615 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152

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