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Atlas › Integer Profiles › Node 15,919,720

15,919,720

23 × 5 × 19 × 20947
Abundant Even Composite

15,919,720 factors as 2^3 × 5 × 19 × 20947. Its 32 positive divisors give a proper-divisor sum of 21,786,680, so this integer is abundant. The Collatz stopping time is 262 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 20947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,706,400
Proper Divisor Sum 21,786,680
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15919711 ← → #15919727

Radix Representation

Decimal 15919720
Binary 111100101110101001101000 (24 bits)
Octal 0o74565150
Hexadecimal 0xF2EA68

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 20,947 41,894 83,788 104,735 167,576 209,470 397,993 418,940 795,986 837,880 1,591,972 1,989,965 3,183,944 3,979,930 7,959,860 15,919,720

Collatz Trajectory (262 steps to reach 1)

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

15,919,720 7,959,860 3,979,930 1,989,965 5,969,896 2,984,948 1,492,474 746,237 2,238,712 1,119,356 559,678 279,839 839,518 419,759 1,259,278 629,639 1,888,918 944,459 2,833,378 1,416,689 4,250,068 2,125,034 1,062,517 3,187,552 1,593,776 796,888 398,444 199,222 99,611 298,834 149,417 448,252 224,126 112,063 336,190 168,095 504,286 252,143 756,430 378,215 1,134,646 567,323 1,701,970 850,985 2,552,956 1,276,478 638,239 1,914,718 957,359 2,872,078 1,436,039 4,308,118 2,154,059 6,462,178 3,231,089 9,693,268 4,846,634 2,423,317 7,269,952 3,634,976

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