7,438,875

3 × 5³ × 83 × 239

7,438,875 has digital root 6. The neighboring primes are 7438841 and 7438891; its proper-divisor sum differs from the starting integer by -2,297,910.

Prime Factor Structure

Factorization String 3 × 5^3 × 83 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,579,840

Proper Divisor Sum 5,140,965

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7438841 ← → #7438891

Radix Representation

Decimal	7438875
Binary	11100011000001000011011 (23 bits)
Octal	0o34301033
Hexadecimal	0x71821B

Divisor Catalog (32)

1 3 5 15 25 75 83 125 239 249 375 415 717 1,195 1,245 2,075 3,585 5,975 6,225 10,375 17,925 19,837 29,875 31,125 59,511 89,625 99,185 297,555 495,925 1,487,775 2,479,625 7,438,875

Collatz Trajectory (142 steps to reach 1)

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

7,438,875 22,316,626 11,158,313 33,474,940 16,737,470 8,368,735 25,106,206 12,553,103 37,659,310 18,829,655 56,488,966 28,244,483 84,733,450 42,366,725 127,100,176 63,550,088 31,775,044 15,887,522 7,943,761 23,831,284 11,915,642 5,957,821 17,873,464 8,936,732 4,468,366 2,234,183 6,702,550 3,351,275 10,053,826 5,026,913 15,080,740 7,540,370 3,770,185 11,310,556 5,655,278 2,827,639 8,482,918 4,241,459 12,724,378 6,362,189 19,086,568 9,543,284 4,771,642 2,385,821 7,157,464 3,578,732 1,789,366 894,683 2,684,050 1,342,025 4,026,076 2,013,038 1,006,519 3,019,558 1,509,779 4,529,338 2,264,669 6,794,008 3,397,004 1,698,502

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