33,001,071

3 × 2477 × 4441

33,001,071 factors as 3 × 2477 × 4441. Its 8 positive divisors give a proper-divisor sum of 11,028,033, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 2477 × 4441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 44,029,104

Proper Divisor Sum 11,028,033

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #33001069 ← → #33001079

Radix Representation

Decimal	33001071
Binary	1111101111000111001101111 (25 bits)
Octal	0o175707157
Hexadecimal	0x1F78E6F

Divisor Catalog (8)

1 3 2,477 4,441 7,431 13,323 11,000,357 33,001,071

Collatz Trajectory (188 steps to reach 1)

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

33,001,071 99,003,214 49,501,607 148,504,822 74,252,411 222,757,234 111,378,617 334,135,852 167,067,926 83,533,963 250,601,890 125,300,945 375,902,836 187,951,418 93,975,709 281,927,128 140,963,564 70,481,782 35,240,891 105,722,674 52,861,337 158,584,012 79,292,006 39,646,003 118,938,010 59,469,005 178,407,016 89,203,508 44,601,754 22,300,877 66,902,632 33,451,316 16,725,658 8,362,829 25,088,488 12,544,244 6,272,122 3,136,061 9,408,184 4,704,092 2,352,046 1,176,023 3,528,070 1,764,035 5,292,106 2,646,053 7,938,160 3,969,080 1,984,540 992,270 496,135 1,488,406 744,203 2,232,610 1,116,305 3,348,916 1,674,458 837,229 2,511,688 1,255,844

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