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Atlas › Integer Profiles › Node 5,084,928

5,084,928

28 × 32 × 2207
Abundant Even Composite

5,084,928 factors as 2^8 × 3^2 × 2207. Its 54 positive divisors give a proper-divisor sum of 9,582,816, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^8 × 3^2 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 14,667,744
Proper Divisor Sum 9,582,816
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5084927 ← → #5084929

Radix Representation

Decimal 5084928
Binary 10011011001011100000000 (23 bits)
Octal 0o23313400
Hexadecimal 0x4D9700

Divisor Catalog (54)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1,152 2,207 2,304 4,414 6,621 8,828 13,242 17,656 19,863 26,484 35,312 39,726 52,968 70,624 79,452 105,936 141,248 158,904 211,872 282,496 317,808 423,744 564,992 635,616 847,488 1,271,232 1,694,976 2,542,464 5,084,928

Collatz Trajectory (126 steps to reach 1)

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

5,084,928 2,542,464 1,271,232 635,616 317,808 158,904 79,452 39,726 19,863 59,590 29,795 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386

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