λ
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Atlas › Integer Profiles › Node 33,313,468

33,313,468

22 × 31 × 37 × 53 × 137
Deficient Even Composite

33,313,468 factors as 2^2 × 31 × 37 × 53 × 137. Its 48 positive divisors give a proper-divisor sum of 30,117,956, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 37 × 53 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,431,424
Proper Divisor Sum 30,117,956
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #33313463 ← → #33313471

Radix Representation

Decimal 33313468
Binary 1111111000101001010111100 (25 bits)
Octal 0o177051274
Hexadecimal 0x1FC52BC

Divisor Catalog (48)

1 2 4 31 37 53 62 74 106 124 137 148 212 274 548 1,147 1,643 1,961 2,294 3,286 3,922 4,247 4,588 5,069 6,572 7,261 7,844 8,494 10,138 14,522 16,988 20,276 29,044 60,791 121,582 157,139 225,091 243,164 268,657 314,278 450,182 537,314 628,556 900,364 1,074,628 8,328,367 16,656,734 33,313,468

Collatz Trajectory (201 steps to reach 1)

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

33,313,468 16,656,734 8,328,367 24,985,102 12,492,551 37,477,654 18,738,827 56,216,482 28,108,241 84,324,724 42,162,362 21,081,181 63,243,544 31,621,772 15,810,886 7,905,443 23,716,330 11,858,165 35,574,496 17,787,248 8,893,624 4,446,812 2,223,406 1,111,703 3,335,110 1,667,555 5,002,666 2,501,333 7,504,000 3,752,000 1,876,000 938,000 469,000 234,500 117,250 58,625 175,876 87,938 43,969 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870

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