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Atlas › Integer Profiles › Node 17,520,945

17,520,945

3 × 5 × 13 × 19 × 4729
Deficient Odd Composite

17,520,945 factors as 3 × 5 × 13 × 19 × 4729. Its 32 positive divisors give a proper-divisor sum of 14,264,655, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 19 × 4729
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,785,600
Proper Divisor Sum 14,264,655
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17520913 ← → #17520973

Radix Representation

Decimal 17520945
Binary 1000010110101100100110001 (25 bits)
Octal 0o102654461
Hexadecimal 0x10B5931

Divisor Catalog (32)

1 3 5 13 15 19 39 57 65 95 195 247 285 741 1,235 3,705 4,729 14,187 23,645 61,477 70,935 89,851 184,431 269,553 307,385 449,255 922,155 1,168,063 1,347,765 3,504,189 5,840,315 17,520,945

Collatz Trajectory (200 steps to reach 1)

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

17,520,945 52,562,836 26,281,418 13,140,709 39,422,128 19,711,064 9,855,532 4,927,766 2,463,883 7,391,650 3,695,825 11,087,476 5,543,738 2,771,869 8,315,608 4,157,804 2,078,902 1,039,451 3,118,354 1,559,177 4,677,532 2,338,766 1,169,383 3,508,150 1,754,075 5,262,226 2,631,113 7,893,340 3,946,670 1,973,335 5,920,006 2,960,003 8,880,010 4,440,005 13,320,016 6,660,008 3,330,004 1,665,002 832,501 2,497,504 1,248,752 624,376 312,188 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127

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