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Atlas › Integer Profiles › Node 17,538,185

17,538,185

5 × 7 × 29 × 37 × 467
Deficient Odd Composite

17,538,185 factors as 5 × 7 × 29 × 37 × 467. Its 32 positive divisors give a proper-divisor sum of 8,070,775, so this integer is deficient. The Collatz stopping time is 425 steps.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 37 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,608,960
Proper Divisor Sum 8,070,775
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17538181 ← → #17538211

Radix Representation

Decimal 17538185
Binary 1000010111001110010001001 (25 bits)
Octal 0o102716211
Hexadecimal 0x10B9C89

Divisor Catalog (32)

1 5 7 29 35 37 145 185 203 259 467 1,015 1,073 1,295 2,335 3,269 5,365 7,511 13,543 16,345 17,279 37,555 67,715 86,395 94,801 120,953 474,005 501,091 604,765 2,505,455 3,507,637 17,538,185

Collatz Trajectory (425 steps to reach 1)

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

17,538,185 52,614,556 26,307,278 13,153,639 39,460,918 19,730,459 59,191,378 29,595,689 88,787,068 44,393,534 22,196,767 66,590,302 33,295,151 99,885,454 49,942,727 149,828,182 74,914,091 224,742,274 112,371,137 337,113,412 168,556,706 84,278,353 252,835,060 126,417,530 63,208,765 189,626,296 94,813,148 47,406,574 23,703,287 71,109,862 35,554,931 106,664,794 53,332,397 159,997,192 79,998,596 39,999,298 19,999,649 59,998,948 29,999,474 14,999,737 44,999,212 22,499,606 11,249,803 33,749,410 16,874,705 50,624,116 25,312,058 12,656,029 37,968,088 18,984,044 9,492,022 4,746,011 14,238,034 7,119,017 21,357,052 10,678,526 5,339,263 16,017,790 8,008,895 24,026,686

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