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Atlas › Integer Profiles › Node 33,487,476

33,487,476

22 × 3 × 112 × 23063
Abundant Even Composite

33,487,476 factors as 2^2 × 3 × 11^2 × 23063. Its 36 positive divisors give a proper-divisor sum of 52,402,860, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 23063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 85,890,336
Proper Divisor Sum 52,402,860
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #33487451 ← → #33487477

Radix Representation

Decimal 33487476
Binary 1111111101111101001110100 (25 bits)
Octal 0o177575164
Hexadecimal 0x1FEFA74

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 23,063 46,126 69,189 92,252 138,378 253,693 276,756 507,386 761,079 1,014,772 1,522,158 2,790,623 3,044,316 5,581,246 8,371,869 11,162,492 16,743,738 33,487,476

Collatz Trajectory (263 steps to reach 1)

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

33,487,476 16,743,738 8,371,869 25,115,608 12,557,804 6,278,902 3,139,451 9,418,354 4,709,177 14,127,532 7,063,766 3,531,883 10,595,650 5,297,825 15,893,476 7,946,738 3,973,369 11,920,108 5,960,054 2,980,027 8,940,082 4,470,041 13,410,124 6,705,062 3,352,531 10,057,594 5,028,797 15,086,392 7,543,196 3,771,598 1,885,799 5,657,398 2,828,699 8,486,098 4,243,049 12,729,148 6,364,574 3,182,287 9,546,862 4,773,431 14,320,294 7,160,147 21,480,442 10,740,221 32,220,664 16,110,332 8,055,166 4,027,583 12,082,750 6,041,375 18,124,126 9,062,063 27,186,190 13,593,095 40,779,286 20,389,643 61,168,930 30,584,465 91,753,396 45,876,698

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