λ
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Atlas › Integer Profiles › Node 32,202,056

32,202,056

23 × 31 × 41 × 3167
Deficient Even Composite

32,202,056 factors as 2^3 × 31 × 41 × 3167. Its 32 positive divisors give a proper-divisor sum of 31,664,824, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 41 × 3167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,866,880
Proper Divisor Sum 31,664,824
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #32202041 ← → #32202061

Radix Representation

Decimal 32202056
Binary 1111010110101110101001000 (25 bits)
Octal 0o172656510
Hexadecimal 0x1EB5D48

Divisor Catalog (32)

1 2 4 8 31 41 62 82 124 164 248 328 1,271 2,542 3,167 5,084 6,334 10,168 12,668 25,336 98,177 129,847 196,354 259,694 392,708 519,388 785,416 1,038,776 4,025,257 8,050,514 16,101,028 32,202,056

Collatz Trajectory (219 steps to reach 1)

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

32,202,056 16,101,028 8,050,514 4,025,257 12,075,772 6,037,886 3,018,943 9,056,830 4,528,415 13,585,246 6,792,623 20,377,870 10,188,935 30,566,806 15,283,403 45,850,210 22,925,105 68,775,316 34,387,658 17,193,829 51,581,488 25,790,744 12,895,372 6,447,686 3,223,843 9,671,530 4,835,765 14,507,296 7,253,648 3,626,824 1,813,412 906,706 453,353 1,360,060 680,030 340,015 1,020,046 510,023 1,530,070 765,035 2,295,106 1,147,553 3,442,660 1,721,330 860,665 2,581,996 1,290,998 645,499 1,936,498 968,249 2,904,748 1,452,374 726,187 2,178,562 1,089,281 3,267,844 1,633,922 816,961 2,450,884 1,225,442

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