λ
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Atlas › Integer Profiles › Node 32,040,327

32,040,327

3 × 11 × 19 × 137 × 373
Deficient Odd Composite

32,040,327 factors as 3 × 11 × 19 × 137 × 373. Its 32 positive divisors give a proper-divisor sum of 17,507,193, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 137 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,547,520
Proper Divisor Sum 17,507,193
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #32040319 ← → #32040341

Radix Representation

Decimal 32040327
Binary 1111010001110010110000111 (25 bits)
Octal 0o172162607
Hexadecimal 0x1E8E587

Divisor Catalog (32)

1 3 11 19 33 57 137 209 373 411 627 1,119 1,507 2,603 4,103 4,521 7,087 7,809 12,309 21,261 28,633 51,101 77,957 85,899 153,303 233,871 562,111 970,919 1,686,333 2,912,757 10,680,109 32,040,327

Collatz Trajectory (188 steps to reach 1)

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

32,040,327 96,120,982 48,060,491 144,181,474 72,090,737 216,272,212 108,136,106 54,068,053 162,204,160 81,102,080 40,551,040 20,275,520 10,137,760 5,068,880 2,534,440 1,267,220 633,610 316,805 950,416 475,208 237,604 118,802 59,401 178,204 89,102 44,551 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941

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