33,747,752

2³ × 4218469

33,747,752 factors as 2^3 × 4218469. Its 8 positive divisors give a proper-divisor sum of 29,529,298, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^3 × 4218469

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 63,277,050

Proper Divisor Sum 29,529,298

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #33747751 ← → #33747799

Radix Representation

Decimal	33747752
Binary	10000000101111001100101000 (26 bits)
Octal	0o200571450
Hexadecimal	0x202F328

Divisor Catalog (8)

1 2 4 8 4,218,469 8,436,938 16,873,876 33,747,752

Collatz Trajectory (276 steps to reach 1)

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

33,747,752 16,873,876 8,436,938 4,218,469 12,655,408 6,327,704 3,163,852 1,581,926 790,963 2,372,890 1,186,445 3,559,336 1,779,668 889,834 444,917 1,334,752 667,376 333,688 166,844 83,422 41,711 125,134 62,567 187,702 93,851 281,554 140,777 422,332 211,166 105,583 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675

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