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Atlas › Integer Profiles › Node 4,923,945

4,923,945

32 × 5 × 13 × 19 × 443
Deficient Odd Composite

4,923,945 factors as 3^2 × 5 × 13 × 19 × 443. Its 48 positive divisors give a proper-divisor sum of 4,773,015, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 19 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,696,960
Proper Divisor Sum 4,773,015
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4923943 ← → #4923953

Radix Representation

Decimal 4923945
Binary 10010110010001000101001 (23 bits)
Octal 0o22621051
Hexadecimal 0x4B2229

Divisor Catalog (48)

1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 443 585 741 855 1,235 1,329 2,215 2,223 3,705 3,987 5,759 6,645 8,417 11,115 17,277 19,935 25,251 28,795 42,085 51,831 75,753 86,385 109,421 126,255 259,155 328,263 378,765 547,105 984,789 1,641,315 4,923,945

Collatz Trajectory (162 steps to reach 1)

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

4,923,945 14,771,836 7,385,918 3,692,959 11,078,878 5,539,439 16,618,318 8,309,159 24,927,478 12,463,739 37,391,218 18,695,609 56,086,828 28,043,414 14,021,707 42,065,122 21,032,561 63,097,684 31,548,842 15,774,421 47,323,264 23,661,632 11,830,816 5,915,408 2,957,704 1,478,852 739,426 369,713 1,109,140 554,570 277,285 831,856 415,928 207,964 103,982 51,991 155,974 77,987 233,962 116,981 350,944 175,472 87,736 43,868 21,934 10,967 32,902 16,451 49,354 24,677 74,032 37,016 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206

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