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Atlas › Integer Profiles › Node 17,236,982

17,236,982

2 × 7 × 23 × 199 × 269
Deficient Even Composite

17,236,982 factors as 2 × 7 × 23 × 199 × 269. Its 32 positive divisors give a proper-divisor sum of 13,867,018, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 199 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,104,000
Proper Divisor Sum 13,867,018
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17236981 ← → #17236987

Radix Representation

Decimal 17236982
Binary 1000001110000001111110110 (25 bits)
Octal 0o101601766
Hexadecimal 0x10703F6

Divisor Catalog (32)

1 2 7 14 23 46 161 199 269 322 398 538 1,393 1,883 2,786 3,766 4,577 6,187 9,154 12,374 32,039 43,309 53,531 64,078 86,618 107,062 374,717 749,434 1,231,213 2,462,426 8,618,491 17,236,982

Collatz Trajectory (200 steps to reach 1)

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

17,236,982 8,618,491 25,855,474 12,927,737 38,783,212 19,391,606 9,695,803 29,087,410 14,543,705 43,631,116 21,815,558 10,907,779 32,723,338 16,361,669 49,085,008 24,542,504 12,271,252 6,135,626 3,067,813 9,203,440 4,601,720 2,300,860 1,150,430 575,215 1,725,646 862,823 2,588,470 1,294,235 3,882,706 1,941,353 5,824,060 2,912,030 1,456,015 4,368,046 2,184,023 6,552,070 3,276,035 9,828,106 4,914,053 14,742,160 7,371,080 3,685,540 1,842,770 921,385 2,764,156 1,382,078 691,039 2,073,118 1,036,559 3,109,678 1,554,839 4,664,518 2,332,259 6,996,778 3,498,389 10,495,168 5,247,584 2,623,792 1,311,896 655,948

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