4,127,937

3 × 11 × 67 × 1867

For 4,127,937, the 16 positive divisors have a total of 6,097,152. Removing 4,127,937 leaves 1,969,215, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 67 × 1867

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,097,152

Proper Divisor Sum 1,969,215

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4127933 ← → #4127951

Radix Representation

Decimal	4127937
Binary	1111101111110011000001 (22 bits)
Octal	0o17576301
Hexadecimal	0x3EFCC1

Divisor Catalog (16)

1 3 11 33 67 201 737 1,867 2,211 5,601 20,537 61,611 125,089 375,267 1,375,979 4,127,937

Collatz Trajectory (242 steps to reach 1)

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

4,127,937 12,383,812 6,191,906 3,095,953 9,287,860 4,643,930 2,321,965 6,965,896 3,482,948 1,741,474 870,737 2,612,212 1,306,106 653,053 1,959,160 979,580 489,790 244,895 734,686 367,343 1,102,030 551,015 1,653,046 826,523 2,479,570 1,239,785 3,719,356 1,859,678 929,839 2,789,518 1,394,759 4,184,278 2,092,139 6,276,418 3,138,209 9,414,628 4,707,314 2,353,657 7,060,972 3,530,486 1,765,243 5,295,730 2,647,865 7,943,596 3,971,798 1,985,899 5,957,698 2,978,849 8,936,548 4,468,274 2,234,137 6,702,412 3,351,206 1,675,603 5,026,810 2,513,405 7,540,216 3,770,108 1,885,054 942,527

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