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Atlas › Integer Profiles › Node 71,003,950

71,003,950

2 × 52 × 19 × 31 × 2411
Abundant Even Composite

71,003,950 factors as 2 × 5^2 × 19 × 31 × 2411. Its 48 positive divisors give a proper-divisor sum of 72,558,290, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 31 × 2411
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 143,562,240
Proper Divisor Sum 72,558,290
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #71003899 ← → #71003953

Radix Representation

Decimal 71003950
Binary 100001110110110111100101110 (27 bits)
Octal 0o416667456
Hexadecimal 0x43B6F2E

Divisor Catalog (48)

1 2 5 10 19 25 31 38 50 62 95 155 190 310 475 589 775 950 1,178 1,550 2,411 2,945 4,822 5,890 12,055 14,725 24,110 29,450 45,809 60,275 74,741 91,618 120,550 149,482 229,045 373,705 458,090 747,410 1,145,225 1,420,079 1,868,525 2,290,450 2,840,158 3,737,050 7,100,395 14,200,790 35,501,975 71,003,950

Collatz Trajectory (65 steps to reach 1)

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

71,003,950 35,501,975 106,505,926 53,252,963 159,758,890 79,879,445 239,638,336 119,819,168 59,909,584 29,954,792 14,977,396 7,488,698 3,744,349 11,233,048 5,616,524 2,808,262 1,404,131 4,212,394 2,106,197 6,318,592 3,159,296 1,579,648 789,824 394,912 197,456 98,728 49,364 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

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