λ
Ratio Atlas

5,921,824

25 × 185057
Deficient Even Composite

5,921,824 factors as 2^5 × 185057. Its 12 positive divisors give a proper-divisor sum of 5,736,830, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^5 × 185057
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,658,654
Proper Divisor Sum 5,736,830
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5921809 ← → #5921869

Radix Representation

Decimal 5921824
Binary 10110100101110000100000 (23 bits)
Octal 0o26456040
Hexadecimal 0x5A5C20

Divisor Catalog (12)

1 2 4 8 16 32 185,057 370,114 740,228 1,480,456 2,960,912 5,921,824

Collatz Trajectory (183 steps to reach 1)

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

5,921,824 2,960,912 1,480,456 740,228 370,114 185,057 555,172 277,586 138,793 416,380 208,190 104,095 312,286 156,143 468,430 234,215 702,646 351,323 1,053,970 526,985 1,580,956 790,478 395,239 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677 4,502,032 2,251,016 1,125,508 562,754 281,377 844,132 422,066 211,033 633,100 316,550 158,275 474,826 237,413 712,240 356,120 178,060 89,030 44,515 133,546 66,773 200,320 100,160 50,080 25,040 12,520 6,260

More profiles

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