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Atlas › Integer Profiles › Node 61,384,104

61,384,104

23 × 32 × 852557
Abundant Even Composite

61,384,104 factors as 2^3 × 3^2 × 852557. Its 24 positive divisors give a proper-divisor sum of 104,864,706, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 852557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 166,248,810
Proper Divisor Sum 104,864,706
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #61384087 ← → #61384109

Radix Representation

Decimal 61384104
Binary 11101010001010010110101000 (26 bits)
Octal 0o352122650
Hexadecimal 0x3A8A5A8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 852,557 1,705,114 2,557,671 3,410,228 5,115,342 6,820,456 7,673,013 10,230,684 15,346,026 20,461,368 30,692,052 61,384,104

Collatz Trajectory (75 steps to reach 1)

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

61,384,104 30,692,052 15,346,026 7,673,013 23,019,040 11,509,520 5,754,760 2,877,380 1,438,690 719,345 2,158,036 1,079,018 539,509 1,618,528 809,264 404,632 202,316 101,158 50,579 151,738 75,869 227,608 113,804 56,902 28,451 85,354 42,677 128,032 64,016 32,008 16,004 8,002 4,001 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

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