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Atlas › Integer Profiles › Node 45,678,016

45,678,016

26 × 29 × 24611
Abundant Even Composite

45,678,016 factors as 2^6 × 29 × 24611. Its 28 positive divisors give a proper-divisor sum of 48,093,704, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 24611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 93,771,720
Proper Divisor Sum 48,093,704
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #45678013 ← → #45678029

Radix Representation

Decimal 45678016
Binary 10101110001111110111000000 (26 bits)
Octal 0o256176700
Hexadecimal 0x2B8FDC0

Divisor Catalog (28)

1 2 4 8 16 29 32 58 64 116 232 464 928 1,856 24,611 49,222 98,444 196,888 393,776 713,719 787,552 1,427,438 1,575,104 2,854,876 5,709,752 11,419,504 22,839,008 45,678,016

Collatz Trajectory (129 steps to reach 1)

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

45,678,016 22,839,008 11,419,504 5,709,752 2,854,876 1,427,438 713,719 2,141,158 1,070,579 3,211,738 1,605,869 4,817,608 2,408,804 1,204,402 602,201 1,806,604 903,302 451,651 1,354,954 677,477 2,032,432 1,016,216 508,108 254,054 127,027 381,082 190,541 571,624 285,812 142,906 71,453 214,360 107,180 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050

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