λ
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Atlas › Integer Profiles › Node 33,310,298

33,310,298

2 × 72 × 151 × 2251
Deficient Even Composite

33,310,298 factors as 2 × 7^2 × 151 × 2251. Its 24 positive divisors give a proper-divisor sum of 25,223,686, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 151 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 58,533,984
Proper Divisor Sum 25,223,686
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #33310283 ← → #33310301

Radix Representation

Decimal 33310298
Binary 1111111000100011001011010 (25 bits)
Octal 0o177043132
Hexadecimal 0x1FC465A

Divisor Catalog (24)

1 2 7 14 49 98 151 302 1,057 2,114 2,251 4,502 7,399 14,798 15,757 31,514 110,299 220,598 339,901 679,802 2,379,307 4,758,614 16,655,149 33,310,298

Collatz Trajectory (139 steps to reach 1)

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

33,310,298 16,655,149 49,965,448 24,982,724 12,491,362 6,245,681 18,737,044 9,368,522 4,684,261 14,052,784 7,026,392 3,513,196 1,756,598 878,299 2,634,898 1,317,449 3,952,348 1,976,174 988,087 2,964,262 1,482,131 4,446,394 2,223,197 6,669,592 3,334,796 1,667,398 833,699 2,501,098 1,250,549 3,751,648 1,875,824 937,912 468,956 234,478 117,239 351,718 175,859 527,578 263,789 791,368 395,684 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274

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