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Atlas › Integer Profiles › Node 88,685,116

88,685,116

22 × 132 × 127 × 1033
Deficient Even Composite

88,685,116 factors as 2^2 × 13^2 × 127 × 1033. Its 36 positive divisors give a proper-divisor sum of 80,857,796, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 127 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 169,542,912
Proper Divisor Sum 80,857,796
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #88685101 ← → #88685147

Radix Representation

Decimal 88685116
Binary 101010010010011101000111100 (27 bits)
Octal 0o522235074
Hexadecimal 0x5493A3C

Divisor Catalog (36)

1 2 4 13 26 52 127 169 254 338 508 676 1,033 1,651 2,066 3,302 4,132 6,604 13,429 21,463 26,858 42,926 53,716 85,852 131,191 174,577 262,382 349,154 524,764 698,308 1,705,483 3,410,966 6,821,932 22,171,279 44,342,558 88,685,116

Collatz Trajectory (218 steps to reach 1)

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

88,685,116 44,342,558 22,171,279 66,513,838 33,256,919 99,770,758 49,885,379 149,656,138 74,828,069 224,484,208 112,242,104 56,121,052 28,060,526 14,030,263 42,090,790 21,045,395 63,136,186 31,568,093 94,704,280 47,352,140 23,676,070 11,838,035 35,514,106 17,757,053 53,271,160 26,635,580 13,317,790 6,658,895 19,976,686 9,988,343 29,965,030 14,982,515 44,947,546 22,473,773 67,421,320 33,710,660 16,855,330 8,427,665 25,282,996 12,641,498 6,320,749 18,962,248 9,481,124 4,740,562 2,370,281 7,110,844 3,555,422 1,777,711 5,333,134 2,666,567 7,999,702 3,999,851 11,999,554 5,999,777 17,999,332 8,999,666 4,499,833 13,499,500 6,749,750 3,374,875

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