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Atlas › Integer Profiles › Node 54,847,424

54,847,424

26 × 337 × 2543
Deficient Even Composite

54,847,424 factors as 2^6 × 337 × 2543. Its 28 positive divisors give a proper-divisor sum of 54,356,320, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^6 × 337 × 2543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 109,203,744
Proper Divisor Sum 54,356,320
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #54847417 ← → #54847447

Radix Representation

Decimal 54847424
Binary 11010001001110011111000000 (26 bits)
Octal 0o321163700
Hexadecimal 0x344E7C0

Divisor Catalog (28)

1 2 4 8 16 32 64 337 674 1,348 2,543 2,696 5,086 5,392 10,172 10,784 20,344 21,568 40,688 81,376 162,752 856,991 1,713,982 3,427,964 6,855,928 13,711,856 27,423,712 54,847,424

Collatz Trajectory (88 steps to reach 1)

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

54,847,424 27,423,712 13,711,856 6,855,928 3,427,964 1,713,982 856,991 2,570,974 1,285,487 3,856,462 1,928,231 5,784,694 2,892,347 8,677,042 4,338,521 13,015,564 6,507,782 3,253,891 9,761,674 4,880,837 14,642,512 7,321,256 3,660,628 1,830,314 915,157 2,745,472 1,372,736 686,368 343,184 171,592 85,796 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269

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