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Atlas › Integer Profiles › Node 17,529,785

17,529,785

5 × 7 × 13 × 59 × 653
Deficient Odd Composite

17,529,785 factors as 5 × 7 × 13 × 59 × 653. Its 32 positive divisors give a proper-divisor sum of 8,839,495, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 59 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,369,280
Proper Divisor Sum 8,839,495
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #17529769 ← → #17529791

Radix Representation

Decimal 17529785
Binary 1000010110111101110111001 (25 bits)
Octal 0o102675671
Hexadecimal 0x10B7BB9

Divisor Catalog (32)

1 5 7 13 35 59 65 91 295 413 455 653 767 2,065 3,265 3,835 4,571 5,369 8,489 22,855 26,845 38,527 42,445 59,423 192,635 269,689 297,115 500,851 1,348,445 2,504,255 3,505,957 17,529,785

Collatz Trajectory (156 steps to reach 1)

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

17,529,785 52,589,356 26,294,678 13,147,339 39,442,018 19,721,009 59,163,028 29,581,514 14,790,757 44,372,272 22,186,136 11,093,068 5,546,534 2,773,267 8,319,802 4,159,901 12,479,704 6,239,852 3,119,926 1,559,963 4,679,890 2,339,945 7,019,836 3,509,918 1,754,959 5,264,878 2,632,439 7,897,318 3,948,659 11,845,978 5,922,989 17,768,968 8,884,484 4,442,242 2,221,121 6,663,364 3,331,682 1,665,841 4,997,524 2,498,762 1,249,381 3,748,144 1,874,072 937,036 468,518 234,259 702,778 351,389 1,054,168 527,084 263,542 131,771 395,314 197,657 592,972 296,486 148,243 444,730 222,365 667,096

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