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Atlas › Integer Profiles › Node 9,704,919

9,704,919

3 × 7 × 23 × 71 × 283
Deficient Odd Composite

9,704,919 factors as 3 × 7 × 23 × 71 × 283. Its 32 positive divisors give a proper-divisor sum of 5,999,145, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 71 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,704,064
Proper Divisor Sum 5,999,145
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9704911 ← → #9704923

Radix Representation

Decimal 9704919
Binary 100101000001010111010111 (24 bits)
Octal 0o45012727
Hexadecimal 0x9415D7

Divisor Catalog (32)

1 3 7 21 23 69 71 161 213 283 483 497 849 1,491 1,633 1,981 4,899 5,943 6,509 11,431 19,527 20,093 34,293 45,563 60,279 136,689 140,651 421,953 462,139 1,386,417 3,234,973 9,704,919

Collatz Trajectory (207 steps to reach 1)

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

9,704,919 29,114,758 14,557,379 43,672,138 21,836,069 65,508,208 32,754,104 16,377,052 8,188,526 4,094,263 12,282,790 6,141,395 18,424,186 9,212,093 27,636,280 13,818,140 6,909,070 3,454,535 10,363,606 5,181,803 15,545,410 7,772,705 23,318,116 11,659,058 5,829,529 17,488,588 8,744,294 4,372,147 13,116,442 6,558,221 19,674,664 9,837,332 4,918,666 2,459,333 7,378,000 3,689,000 1,844,500 922,250 461,125 1,383,376 691,688 345,844 172,922 86,461 259,384 129,692 64,846 32,423 97,270 48,635 145,906 72,953 218,860 109,430 54,715 164,146 82,073 246,220 123,110 61,555

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