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Atlas › Integer Profiles › Node 36,933,848

36,933,848

23 × 72 × 94219
Abundant Even Composite

36,933,848 factors as 2^3 × 7^2 × 94219. Its 24 positive divisors give a proper-divisor sum of 43,624,252, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 94219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 80,558,100
Proper Divisor Sum 43,624,252
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36933847 ← → #36933851

Radix Representation

Decimal 36933848
Binary 10001100111001000011011000 (26 bits)
Octal 0o214710330
Hexadecimal 0x23390D8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 94,219 188,438 376,876 659,533 753,752 1,319,066 2,638,132 4,616,731 5,276,264 9,233,462 18,466,924 36,933,848

Collatz Trajectory (214 steps to reach 1)

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

36,933,848 18,466,924 9,233,462 4,616,731 13,850,194 6,925,097 20,775,292 10,387,646 5,193,823 15,581,470 7,790,735 23,372,206 11,686,103 35,058,310 17,529,155 52,587,466 26,293,733 78,881,200 39,440,600 19,720,300 9,860,150 4,930,075 14,790,226 7,395,113 22,185,340 11,092,670 5,546,335 16,639,006 8,319,503 24,958,510 12,479,255 37,437,766 18,718,883 56,156,650 28,078,325 84,234,976 42,117,488 21,058,744 10,529,372 5,264,686 2,632,343 7,897,030 3,948,515 11,845,546 5,922,773 17,768,320 8,884,160 4,442,080 2,221,040 1,110,520 555,260 277,630 138,815 416,446 208,223 624,670 312,335 937,006 468,503 1,405,510

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