4,222,725

3 × 5² × 13 × 61 × 71

For 4,222,725, the 48 positive divisors have a total of 7,749,504. Removing 4,222,725 leaves 3,526,779, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 61 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,749,504

Proper Divisor Sum 3,526,779

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4222723 ← → #4222739

Radix Representation

Decimal	4222725
Binary	10000000110111100000101 (23 bits)
Octal	0o20067405
Hexadecimal	0x406F05

Divisor Catalog (48)

1 3 5 13 15 25 39 61 65 71 75 183 195 213 305 325 355 793 915 923 975 1,065 1,525 1,775 2,379 2,769 3,965 4,331 4,575 4,615 5,325 11,895 12,993 13,845 19,825 21,655 23,075 56,303 59,475 64,965 69,225 108,275 168,909 281,515 324,825 844,545 1,407,575 4,222,725

Collatz Trajectory (105 steps to reach 1)

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

4,222,725 12,668,176 6,334,088 3,167,044 1,583,522 791,761 2,375,284 1,187,642 593,821 1,781,464 890,732 445,366 222,683 668,050 334,025 1,002,076 501,038 250,519 751,558 375,779 1,127,338 563,669 1,691,008 845,504 422,752 211,376 105,688 52,844 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465

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