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Atlas › Integer Profiles › Node 55,907,008

55,907,008

26 × 349 × 2503
Deficient Even Composite

55,907,008 factors as 2^6 × 349 × 2503. Its 28 positive divisors give a proper-divisor sum of 55,395,792, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^6 × 349 × 2503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 111,302,800
Proper Divisor Sum 55,395,792
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55907003 ← → #55907021

Radix Representation

Decimal 55907008
Binary 11010101010001001011000000 (26 bits)
Octal 0o325211300
Hexadecimal 0x35512C0

Divisor Catalog (28)

1 2 4 8 16 32 64 349 698 1,396 2,503 2,792 5,006 5,584 10,012 11,168 20,024 22,336 40,048 80,096 160,192 873,547 1,747,094 3,494,188 6,988,376 13,976,752 27,953,504 55,907,008

Collatz Trajectory (150 steps to reach 1)

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

55,907,008 27,953,504 13,976,752 6,988,376 3,494,188 1,747,094 873,547 2,620,642 1,310,321 3,930,964 1,965,482 982,741 2,948,224 1,474,112 737,056 368,528 184,264 92,132 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274

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