λ
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Atlas › Integer Profiles › Node 32,201,618

32,201,618

2 × 19 × 372 × 619
Deficient Even Composite

32,201,618 factors as 2 × 19 × 37^2 × 619. Its 24 positive divisors give a proper-divisor sum of 20,138,782, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 19 × 37^2 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 52,340,400
Proper Divisor Sum 20,138,782
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32201597 ← → #32201623

Radix Representation

Decimal 32201618
Binary 1111010110101101110010010 (25 bits)
Octal 0o172655622
Hexadecimal 0x1EB5B92

Divisor Catalog (24)

1 2 19 37 38 74 619 703 1,238 1,369 1,406 2,738 11,761 22,903 23,522 26,011 45,806 52,022 435,157 847,411 870,314 1,694,822 16,100,809 32,201,618

Collatz Trajectory (175 steps to reach 1)

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

32,201,618 16,100,809 48,302,428 24,151,214 12,075,607 36,226,822 18,113,411 54,340,234 27,170,117 81,510,352 40,755,176 20,377,588 10,188,794 5,094,397 15,283,192 7,641,596 3,820,798 1,910,399 5,731,198 2,865,599 8,596,798 4,298,399 12,895,198 6,447,599 19,342,798 9,671,399 29,014,198 14,507,099 43,521,298 21,760,649 65,281,948 32,640,974 16,320,487 48,961,462 24,480,731 73,442,194 36,721,097 110,163,292 55,081,646 27,540,823 82,622,470 41,311,235 123,933,706 61,966,853 185,900,560 92,950,280 46,475,140 23,237,570 11,618,785 34,856,356 17,428,178 8,714,089 26,142,268 13,071,134 6,535,567 19,606,702 9,803,351 29,410,054 14,705,027 44,115,082

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