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Atlas › Integer Profiles › Node 17,501,645

17,501,645

5 × 7 × 29 × 43 × 401
Deficient Odd Composite

17,501,645 factors as 5 × 7 × 29 × 43 × 401. Its 32 positive divisors give a proper-divisor sum of 7,969,075, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 43 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,470,720
Proper Divisor Sum 7,969,075
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17501633 ← → #17501647

Radix Representation

Decimal 17501645
Binary 1000010110000110111001101 (25 bits)
Octal 0o102606715
Hexadecimal 0x10B0DCD

Divisor Catalog (32)

1 5 7 29 35 43 145 203 215 301 401 1,015 1,247 1,505 2,005 2,807 6,235 8,729 11,629 14,035 17,243 43,645 58,145 81,403 86,215 120,701 407,015 500,047 603,505 2,500,235 3,500,329 17,501,645

Collatz Trajectory (244 steps to reach 1)

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

17,501,645 52,504,936 26,252,468 13,126,234 6,563,117 19,689,352 9,844,676 4,922,338 2,461,169 7,383,508 3,691,754 1,845,877 5,537,632 2,768,816 1,384,408 692,204 346,102 173,051 519,154 259,577 778,732 389,366 194,683 584,050 292,025 876,076 438,038 219,019 657,058 328,529 985,588 492,794 246,397 739,192 369,596 184,798 92,399 277,198 138,599 415,798 207,899 623,698 311,849 935,548 467,774 233,887 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196

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