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Atlas › Integer Profiles › Node 47,465,616

47,465,616

24 × 3 × 11 × 89897
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 89897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 133,768,224
Proper Divisor Sum 86,302,608
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #47465611 ← → #47465641

Radix Representation

Decimal 47465616
Binary 10110101000100010010010000 (26 bits)
Octal 0o265042220
Hexadecimal 0x2D44490

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 89,897 179,794 269,691 359,588 539,382 719,176 988,867 1,078,764 1,438,352 1,977,734 2,157,528 2,966,601 3,955,468 4,315,056 5,933,202 7,910,936 11,866,404 15,821,872 23,732,808 47,465,616

Collatz Trajectory (147 steps to reach 1)

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

47,465,616 23,732,808 11,866,404 5,933,202 2,966,601 8,899,804 4,449,902 2,224,951 6,674,854 3,337,427 10,012,282 5,006,141 15,018,424 7,509,212 3,754,606 1,877,303 5,631,910 2,815,955 8,447,866 4,223,933 12,671,800 6,335,900 3,167,950 1,583,975 4,751,926 2,375,963 7,127,890 3,563,945 10,691,836 5,345,918 2,672,959 8,018,878 4,009,439 12,028,318 6,014,159 18,042,478 9,021,239 27,063,718 13,531,859 40,595,578 20,297,789 60,893,368 30,446,684 15,223,342 7,611,671 22,835,014 11,417,507 34,252,522 17,126,261 51,378,784 25,689,392 12,844,696 6,422,348 3,211,174 1,605,587 4,816,762 2,408,381 7,225,144 3,612,572 1,806,286

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