33,001,078

2 × 11 × 1201 × 1249

33,001,078 factors as 2 × 11 × 1201 × 1249. Its 16 positive divisors give a proper-divisor sum of 21,088,922, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 11 × 1201 × 1249

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,090,000

Proper Divisor Sum 21,088,922

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #33001069 ← → #33001079

Radix Representation

Decimal	33001078
Binary	1111101111000111001110110 (25 bits)
Octal	0o175707166
Hexadecimal	0x1F78E76

Divisor Catalog (16)

1 2 11 22 1,201 1,249 2,402 2,498 13,211 13,739 26,422 27,478 1,500,049 3,000,098 16,500,539 33,001,078

Collatz Trajectory (108 steps to reach 1)

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

33,001,078 16,500,539 49,501,618 24,750,809 74,252,428 37,126,214 18,563,107 55,689,322 27,844,661 83,533,984 41,766,992 20,883,496 10,441,748 5,220,874 2,610,437 7,831,312 3,915,656 1,957,828 978,914 489,457 1,468,372 734,186 367,093 1,101,280 550,640 275,320 137,660 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818

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