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Atlas › Integer Profiles › Node 3,472,035

3,472,035

3 × 5 × 7 × 43 × 769
Deficient Odd Composite

3,472,035 factors as 3 × 5 × 7 × 43 × 769. Its 32 positive divisors give a proper-divisor sum of 3,032,925, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 43 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,504,960
Proper Divisor Sum 3,032,925
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3472033 ← → #3472061

Radix Representation

Decimal 3472035
Binary 1101001111101010100011 (22 bits)
Octal 0o15175243
Hexadecimal 0x34FAA3

Divisor Catalog (32)

1 3 5 7 15 21 35 43 105 129 215 301 645 769 903 1,505 2,307 3,845 4,515 5,383 11,535 16,149 26,915 33,067 80,745 99,201 165,335 231,469 496,005 694,407 1,157,345 3,472,035

Collatz Trajectory (252 steps to reach 1)

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

3,472,035 10,416,106 5,208,053 15,624,160 7,812,080 3,906,040 1,953,020 976,510 488,255 1,464,766 732,383 2,197,150 1,098,575 3,295,726 1,647,863 4,943,590 2,471,795 7,415,386 3,707,693 11,123,080 5,561,540 2,780,770 1,390,385 4,171,156 2,085,578 1,042,789 3,128,368 1,564,184 782,092 391,046 195,523 586,570 293,285 879,856 439,928 219,964 109,982 54,991 164,974 82,487 247,462 123,731 371,194 185,597 556,792 278,396 139,198 69,599 208,798 104,399 313,198 156,599 469,798 234,899 704,698 352,349 1,057,048 528,524 264,262 132,131

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