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Atlas › Integer Profiles › Node 55,373,351

55,373,351

112 × 23 × 101 × 197
Deficient Odd Composite

55,373,351 factors as 11^2 × 23 × 101 × 197. Its 24 positive divisors give a proper-divisor sum of 9,092,281, so this integer is deficient. The Collatz stopping time is 331 steps.

Prime Factor Structure

Factorization String 11^2 × 23 × 101 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 64,465,632
Proper Divisor Sum 9,092,281
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #55373333 ← → #55373371

Radix Representation

Decimal 55373351
Binary 11010011001110111000100111 (26 bits)
Octal 0o323167047
Hexadecimal 0x34CEE27

Divisor Catalog (24)

1 11 23 101 121 197 253 1,111 2,167 2,323 2,783 4,531 12,221 19,897 23,837 25,553 49,841 218,867 281,083 457,631 548,251 2,407,537 5,033,941 55,373,351

Collatz Trajectory (331 steps to reach 1)

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

55,373,351 166,120,054 83,060,027 249,180,082 124,590,041 373,770,124 186,885,062 93,442,531 280,327,594 140,163,797 420,491,392 210,245,696 105,122,848 52,561,424 26,280,712 13,140,356 6,570,178 3,285,089 9,855,268 4,927,634 2,463,817 7,391,452 3,695,726 1,847,863 5,543,590 2,771,795 8,315,386 4,157,693 12,473,080 6,236,540 3,118,270 1,559,135 4,677,406 2,338,703 7,016,110 3,508,055 10,524,166 5,262,083 15,786,250 7,893,125 23,679,376 11,839,688 5,919,844 2,959,922 1,479,961 4,439,884 2,219,942 1,109,971 3,329,914 1,664,957 4,994,872 2,497,436 1,248,718 624,359 1,873,078 936,539 2,809,618 1,404,809 4,214,428 2,107,214

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