33,291,124

2² × 107 × 77783

33,291,124 factors as 2^2 × 107 × 77783. Its 12 positive divisors give a proper-divisor sum of 25,513,580, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 107 × 77783

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 58,804,704

Proper Divisor Sum 25,513,580

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #33291113 ← → #33291133

Radix Representation

Decimal	33291124
Binary	1111110111111101101110100 (25 bits)
Octal	0o176775564
Hexadecimal	0x1FBFB74

Divisor Catalog (12)

1 2 4 107 214 428 77,783 155,566 311,132 8,322,781 16,645,562 33,291,124

Collatz Trajectory (82 steps to reach 1)

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

33,291,124 16,645,562 8,322,781 24,968,344 12,484,172 6,242,086 3,121,043 9,363,130 4,681,565 14,044,696 7,022,348 3,511,174 1,755,587 5,266,762 2,633,381 7,900,144 3,950,072 1,975,036 987,518 493,759 1,481,278 740,639 2,221,918 1,110,959 3,332,878 1,666,439 4,999,318 2,499,659 7,498,978 3,749,489 11,248,468 5,624,234 2,812,117 8,436,352 4,218,176 2,109,088 1,054,544 527,272 263,636 131,818 65,909 197,728 98,864 49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163

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