33,976,025

5² × 73 × 18617

33,976,025 factors as 5^2 × 73 × 18617. Its 12 positive divisors give a proper-divisor sum of 8,733,667, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 5^2 × 73 × 18617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 42,709,692

Proper Divisor Sum 8,733,667

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #33975961 ← → #33976051

Radix Representation

Decimal	33976025
Binary	10000001100110111011011001 (26 bits)
Octal	0o201467331
Hexadecimal	0x2066ED9

Divisor Catalog (12)

1 5 25 73 365 1,825 18,617 93,085 465,425 1,359,041 6,795,205 33,976,025

Collatz Trajectory (108 steps to reach 1)

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

33,976,025 101,928,076 50,964,038 25,482,019 76,446,058 38,223,029 114,669,088 57,334,544 28,667,272 14,333,636 7,166,818 3,583,409 10,750,228 5,375,114 2,687,557 8,062,672 4,031,336 2,015,668 1,007,834 503,917 1,511,752 755,876 377,938 188,969 566,908 283,454 141,727 425,182 212,591 637,774 318,887 956,662 478,331 1,434,994 717,497 2,152,492 1,076,246 538,123 1,614,370 807,185 2,421,556 1,210,778 605,389 1,816,168 908,084 454,042 227,021 681,064 340,532 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986

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