λ
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Atlas › Integer Profiles › Node 31,290,168

31,290,168

23 × 3 × 7 × 13 × 14327
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 14327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 96,284,160
Proper Divisor Sum 64,993,992
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #31290167 ← → #31290173

Radix Representation

Decimal 31290168
Binary 1110111010111001100111000 (25 bits)
Octal 0o167271470
Hexadecimal 0x1DD7338

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1,092 2,184 14,327 28,654 42,981 57,308 85,962 100,289 114,616 171,924 186,251 200,578 300,867 343,848 372,502 401,156 558,753 601,734 745,004 802,312 1,117,506 1,203,468 1,303,757 1,490,008 2,235,012 2,406,936 2,607,514 3,911,271 4,470,024 5,215,028

Collatz Trajectory (100 steps to reach 1)

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

31,290,168 15,645,084 7,822,542 3,911,271 11,733,814 5,866,907 17,600,722 8,800,361 26,401,084 13,200,542 6,600,271 19,800,814 9,900,407 29,701,222 14,850,611 44,551,834 22,275,917 66,827,752 33,413,876 16,706,938 8,353,469 25,060,408 12,530,204 6,265,102 3,132,551 9,397,654 4,698,827 14,096,482 7,048,241 21,144,724 10,572,362 5,286,181 15,858,544 7,929,272 3,964,636 1,982,318 991,159 2,973,478 1,486,739 4,460,218 2,230,109 6,690,328 3,345,164 1,672,582 836,291 2,508,874 1,254,437 3,763,312 1,881,656 940,828 470,414 235,207 705,622 352,811 1,058,434 529,217 1,587,652 793,826 396,913 1,190,740

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