4,138,948

2² × 11 × 109 × 863

4,138,948 factors as 2^2 × 11 × 109 × 863. Its 24 positive divisors give a proper-divisor sum of 3,844,412, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 109 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,983,360

Proper Divisor Sum 3,844,412

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4138943 ← → #4138951

Radix Representation

Decimal	4138948
Binary	1111110010011111000100 (22 bits)
Octal	0o17623704
Hexadecimal	0x3F27C4

Divisor Catalog (24)

Collatz Trajectory (79 steps to reach 1)

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

4,138,948 2,069,474 1,034,737 3,104,212 1,552,106 776,053 2,328,160 1,164,080 582,040 291,020 145,510 72,755 218,266 109,133 327,400 163,700 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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