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Atlas › Integer Profiles › Node 31,055,073

31,055,073

3 × 72 × 173 × 43
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17^3 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,367,040
Proper Divisor Sum 21,311,967
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #31055069 ← → #31055077

Radix Representation

Decimal 31055073
Binary 1110110011101110011100001 (25 bits)
Octal 0o166356341
Hexadecimal 0x1D9DCE1

Divisor Catalog (48)

1 3 7 17 21 43 49 51 119 129 147 289 301 357 731 833 867 903 2,023 2,107 2,193 2,499 4,913 5,117 6,069 6,321 12,427 14,161 14,739 15,351 34,391 35,819 37,281 42,483 86,989 103,173 107,457 211,259 240,737 260,967 608,923 633,777 722,211 1,478,813 1,826,769 4,436,439 10,351,691 31,055,073

Collatz Trajectory (188 steps to reach 1)

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

31,055,073 93,165,220 46,582,610 23,291,305 69,873,916 34,936,958 17,468,479 52,405,438 26,202,719 78,608,158 39,304,079 117,912,238 58,956,119 176,868,358 88,434,179 265,302,538 132,651,269 397,953,808 198,976,904 99,488,452 49,744,226 24,872,113 74,616,340 37,308,170 18,654,085 55,962,256 27,981,128 13,990,564 6,995,282 3,497,641 10,492,924 5,246,462 2,623,231 7,869,694 3,934,847 11,804,542 5,902,271 17,706,814 8,853,407 26,560,222 13,280,111 39,840,334 19,920,167 59,760,502 29,880,251 89,640,754 44,820,377 134,461,132 67,230,566 33,615,283 100,845,850 50,422,925 151,268,776 75,634,388 37,817,194 18,908,597 56,725,792 28,362,896 14,181,448 7,090,724

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