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4,122,225

33 × 52 × 31 × 197
Deficient Odd Composite

4,122,225 factors as 3^3 × 5^2 × 31 × 197. Its 48 positive divisors give a proper-divisor sum of 3,734,415, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 31 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,856,640
Proper Divisor Sum 3,734,415
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4122187 ← → #4122227

Radix Representation

Decimal 4122225
Binary 1111101110011001110001 (22 bits)
Octal 0o17563161
Hexadecimal 0x3EE671

Divisor Catalog (48)

1 3 5 9 15 25 27 31 45 75 93 135 155 197 225 279 465 591 675 775 837 985 1,395 1,773 2,325 2,955 4,185 4,925 5,319 6,107 6,975 8,865 14,775 18,321 20,925 26,595 30,535 44,325 54,963 91,605 132,975 152,675 164,889 274,815 458,025 824,445 1,374,075 4,122,225

Collatz Trajectory (92 steps to reach 1)

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

4,122,225 12,366,676 6,183,338 3,091,669 9,275,008 4,637,504 2,318,752 1,159,376 579,688 289,844 144,922 72,461 217,384 108,692 54,346 27,173 81,520 40,760 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

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