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Atlas › Integer Profiles › Node 45,584,792

45,584,792

23 × 11 × 547 × 947
Abundant Even Composite

45,584,792 factors as 2^3 × 11 × 547 × 947. Its 32 positive divisors give a proper-divisor sum of 47,925,928, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 547 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,510,720
Proper Divisor Sum 47,925,928
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #45584789 ← → #45584801

Radix Representation

Decimal 45584792
Binary 10101101111001000110011000 (26 bits)
Octal 0o255710630
Hexadecimal 0x2B79198

Divisor Catalog (32)

1 2 4 8 11 22 44 88 547 947 1,094 1,894 2,188 3,788 4,376 6,017 7,576 10,417 12,034 20,834 24,068 41,668 48,136 83,336 518,009 1,036,018 2,072,036 4,144,072 5,698,099 11,396,198 22,792,396 45,584,792

Collatz Trajectory (129 steps to reach 1)

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

45,584,792 22,792,396 11,396,198 5,698,099 17,094,298 8,547,149 25,641,448 12,820,724 6,410,362 3,205,181 9,615,544 4,807,772 2,403,886 1,201,943 3,605,830 1,802,915 5,408,746 2,704,373 8,113,120 4,056,560 2,028,280 1,014,140 507,070 253,535 760,606 380,303 1,140,910 570,455 1,711,366 855,683 2,567,050 1,283,525 3,850,576 1,925,288 962,644 481,322 240,661 721,984 360,992 180,496 90,248 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340

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