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Atlas › Integer Profiles › Node 31,323,950

31,323,950

2 × 52 × 7 × 31 × 2887
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 31 × 2887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 68,757,504
Proper Divisor Sum 37,433,554
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31323923 ← → #31323961

Radix Representation

Decimal 31323950
Binary 1110111011111011100101110 (25 bits)
Octal 0o167373456
Hexadecimal 0x1DDF72E

Divisor Catalog (48)

1 2 5 7 10 14 25 31 35 50 62 70 155 175 217 310 350 434 775 1,085 1,550 2,170 2,887 5,425 5,774 10,850 14,435 20,209 28,870 40,418 72,175 89,497 101,045 144,350 178,994 202,090 447,485 505,225 626,479 894,970 1,010,450 1,252,958 2,237,425 3,132,395 4,474,850 6,264,790 15,661,975 31,323,950

Collatz Trajectory (201 steps to reach 1)

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

31,323,950 15,661,975 46,985,926 23,492,963 70,478,890 35,239,445 105,718,336 52,859,168 26,429,584 13,214,792 6,607,396 3,303,698 1,651,849 4,955,548 2,477,774 1,238,887 3,716,662 1,858,331 5,574,994 2,787,497 8,362,492 4,181,246 2,090,623 6,271,870 3,135,935 9,407,806 4,703,903 14,111,710 7,055,855 21,167,566 10,583,783 31,751,350 15,875,675 47,627,026 23,813,513 71,440,540 35,720,270 17,860,135 53,580,406 26,790,203 80,370,610 40,185,305 120,555,916 60,277,958 30,138,979 90,416,938 45,208,469 135,625,408 67,812,704 33,906,352 16,953,176 8,476,588 4,238,294 2,119,147 6,357,442 3,178,721 9,536,164 4,768,082 2,384,041 7,152,124

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