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Atlas › Integer Profiles › Node 40,284,088

40,284,088

23 × 13 × 173 × 2239
Abundant Even Composite

40,284,088 factors as 2^3 × 13 × 173 × 2239. Its 32 positive divisors give a proper-divisor sum of 41,565,512, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 173 × 2239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,849,600
Proper Divisor Sum 41,565,512
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40284061 ← → #40284107

Radix Representation

Decimal 40284088
Binary 10011001101010111110111000 (26 bits)
Octal 0o231527670
Hexadecimal 0x266AFB8

Divisor Catalog (32)

1 2 4 8 13 26 52 104 173 346 692 1,384 2,239 2,249 4,478 4,498 8,956 8,996 17,912 17,992 29,107 58,214 116,428 232,856 387,347 774,694 1,549,388 3,098,776 5,035,511 10,071,022 20,142,044 40,284,088

Collatz Trajectory (209 steps to reach 1)

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

40,284,088 20,142,044 10,071,022 5,035,511 15,106,534 7,553,267 22,659,802 11,329,901 33,989,704 16,994,852 8,497,426 4,248,713 12,746,140 6,373,070 3,186,535 9,559,606 4,779,803 14,339,410 7,169,705 21,509,116 10,754,558 5,377,279 16,131,838 8,065,919 24,197,758 12,098,879 36,296,638 18,148,319 54,444,958 27,222,479 81,667,438 40,833,719 122,501,158 61,250,579 183,751,738 91,875,869 275,627,608 137,813,804 68,906,902 34,453,451 103,360,354 51,680,177 155,040,532 77,520,266 38,760,133 116,280,400 58,140,200 29,070,100 14,535,050 7,267,525 21,802,576 10,901,288 5,450,644 2,725,322 1,362,661 4,087,984 2,043,992 1,021,996 510,998 255,499

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