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Atlas › Integer Profiles › Node 40,323,303

40,323,303

32 × 172 × 37 × 419
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17^2 × 37 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 63,696,360
Proper Divisor Sum 23,373,057
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40323299 ← → #40323307

Radix Representation

Decimal 40323303
Binary 10011001110100100011100111 (26 bits)
Octal 0o231644347
Hexadecimal 0x26748E7

Divisor Catalog (36)

1 3 9 17 37 51 111 153 289 333 419 629 867 1,257 1,887 2,601 3,771 5,661 7,123 10,693 15,503 21,369 32,079 46,509 64,107 96,237 121,091 139,527 263,551 363,273 790,653 1,089,819 2,371,959 4,480,367 13,441,101 40,323,303

Collatz Trajectory (284 steps to reach 1)

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

40,323,303 120,969,910 60,484,955 181,454,866 90,727,433 272,182,300 136,091,150 68,045,575 204,136,726 102,068,363 306,205,090 153,102,545 459,307,636 229,653,818 114,826,909 344,480,728 172,240,364 86,120,182 43,060,091 129,180,274 64,590,137 193,770,412 96,885,206 48,442,603 145,327,810 72,663,905 217,991,716 108,995,858 54,497,929 163,493,788 81,746,894 40,873,447 122,620,342 61,310,171 183,930,514 91,965,257 275,895,772 137,947,886 68,973,943 206,921,830 103,460,915 310,382,746 155,191,373 465,574,120 232,787,060 116,393,530 58,196,765 174,590,296 87,295,148 43,647,574 21,823,787 65,471,362 32,735,681 98,207,044 49,103,522 24,551,761 73,655,284 36,827,642 18,413,821 55,241,464

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