λ
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Atlas › Integer Profiles › Node 32,776,270

32,776,270

2 × 5 × 59 × 73 × 761
Deficient Even Composite

32,776,270 factors as 2 × 5 × 59 × 73 × 761. Its 32 positive divisors give a proper-divisor sum of 28,122,770, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 5 × 59 × 73 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,899,040
Proper Divisor Sum 28,122,770
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32776267 ← → #32776279

Radix Representation

Decimal 32776270
Binary 1111101000010000001001110 (25 bits)
Octal 0o175020116
Hexadecimal 0x1F4204E

Divisor Catalog (32)

1 2 5 10 59 73 118 146 295 365 590 730 761 1,522 3,805 4,307 7,610 8,614 21,535 43,070 44,899 55,553 89,798 111,106 224,495 277,765 448,990 555,530 3,277,627 6,555,254 16,388,135 32,776,270

Collatz Trajectory (113 steps to reach 1)

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

32,776,270 16,388,135 49,164,406 24,582,203 73,746,610 36,873,305 110,619,916 55,309,958 27,654,979 82,964,938 41,482,469 124,447,408 62,223,704 31,111,852 15,555,926 7,777,963 23,333,890 11,666,945 35,000,836 17,500,418 8,750,209 26,250,628 13,125,314 6,562,657 19,687,972 9,843,986 4,921,993 14,765,980 7,382,990 3,691,495 11,074,486 5,537,243 16,611,730 8,305,865 24,917,596 12,458,798 6,229,399 18,688,198 9,344,099 28,032,298 14,016,149 42,048,448 21,024,224 10,512,112 5,256,056 2,628,028 1,314,014 657,007 1,971,022 985,511 2,956,534 1,478,267 4,434,802 2,217,401 6,652,204 3,326,102 1,663,051 4,989,154 2,494,577 7,483,732

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