λ
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Atlas › Integer Profiles › Node 32,013,513

32,013,513

32 × 72 × 229 × 317
Deficient Odd Composite

32,013,513 factors as 3^2 × 7^2 × 229 × 317. Its 36 positive divisors give a proper-divisor sum of 22,183,227, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 229 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 54,196,740
Proper Divisor Sum 22,183,227
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #32013511 ← → #32013517

Radix Representation

Decimal 32013513
Binary 1111010000111110011001001 (25 bits)
Octal 0o172076311
Hexadecimal 0x1E87CC9

Divisor Catalog (36)

1 3 7 9 21 49 63 147 229 317 441 687 951 1,603 2,061 2,219 2,853 4,809 6,657 11,221 14,427 15,533 19,971 33,663 46,599 72,593 100,989 139,797 217,779 508,151 653,337 1,524,453 3,557,057 4,573,359 10,671,171 32,013,513

Collatz Trajectory (255 steps to reach 1)

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

32,013,513 96,040,540 48,020,270 24,010,135 72,030,406 36,015,203 108,045,610 54,022,805 162,068,416 81,034,208 40,517,104 20,258,552 10,129,276 5,064,638 2,532,319 7,596,958 3,798,479 11,395,438 5,697,719 17,093,158 8,546,579 25,639,738 12,819,869 38,459,608 19,229,804 9,614,902 4,807,451 14,422,354 7,211,177 21,633,532 10,816,766 5,408,383 16,225,150 8,112,575 24,337,726 12,168,863 36,506,590 18,253,295 54,759,886 27,379,943 82,139,830 41,069,915 123,209,746 61,604,873 184,814,620 92,407,310 46,203,655 138,610,966 69,305,483 207,916,450 103,958,225 311,874,676 155,937,338 77,968,669 233,906,008 116,953,004 58,476,502 29,238,251 87,714,754 43,857,377

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