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Atlas › Integer Profiles › Node 17,519,271

17,519,271

3 × 7 × 11 × 149 × 509
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 149 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,376,000
Proper Divisor Sum 11,856,729
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17519263 ← → #17519287

Radix Representation

Decimal 17519271
Binary 1000010110101001010100111 (25 bits)
Octal 0o102651247
Hexadecimal 0x10B52A7

Divisor Catalog (32)

1 3 7 11 21 33 77 149 231 447 509 1,043 1,527 1,639 3,129 3,563 4,917 5,599 10,689 11,473 16,797 34,419 39,193 75,841 117,579 227,523 530,887 834,251 1,592,661 2,502,753 5,839,757 17,519,271

Collatz Trajectory (213 steps to reach 1)

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

17,519,271 52,557,814 26,278,907 78,836,722 39,418,361 118,255,084 59,127,542 29,563,771 88,691,314 44,345,657 133,036,972 66,518,486 33,259,243 99,777,730 49,888,865 149,666,596 74,833,298 37,416,649 112,249,948 56,124,974 28,062,487 84,187,462 42,093,731 126,281,194 63,140,597 189,421,792 94,710,896 47,355,448 23,677,724 11,838,862 5,919,431 17,758,294 8,879,147 26,637,442 13,318,721 39,956,164 19,978,082 9,989,041 29,967,124 14,983,562 7,491,781 22,475,344 11,237,672 5,618,836 2,809,418 1,404,709 4,214,128 2,107,064 1,053,532 526,766 263,383 790,150 395,075 1,185,226 592,613 1,777,840 888,920 444,460 222,230 111,115

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