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Atlas › Integer Profiles › Node 71,065,740

71,065,740

22 × 3 × 5 × 1184429
Abundant Even Composite

71,065,740 factors as 2^2 × 3 × 5 × 1184429. Its 24 positive divisors give a proper-divisor sum of 127,918,500, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 1184429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 198,984,240
Proper Divisor Sum 127,918,500
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #71065727 ← → #71065741

Radix Representation

Decimal 71065740
Binary 100001111000110000010001100 (27 bits)
Octal 0o417060214
Hexadecimal 0x43C608C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 1,184,429 2,368,858 3,553,287 4,737,716 5,922,145 7,106,574 11,844,290 14,213,148 17,766,435 23,688,580 35,532,870 71,065,740

Collatz Trajectory (153 steps to reach 1)

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

71,065,740 35,532,870 17,766,435 53,299,306 26,649,653 79,948,960 39,974,480 19,987,240 9,993,620 4,996,810 2,498,405 7,495,216 3,747,608 1,873,804 936,902 468,451 1,405,354 702,677 2,108,032 1,054,016 527,008 263,504 131,752 65,876 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

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