7,388,625

3 × 5³ × 17 × 19 × 61

For 7,388,625, the 64 positive divisors have a total of 13,927,680. Removing 7,388,625 leaves 6,539,055, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 19 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,927,680

Proper Divisor Sum 6,539,055

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7388621 ← → #7388639

Radix Representation

Decimal	7388625
Binary	11100001011110111010001 (23 bits)
Octal	0o34136721
Hexadecimal	0x70BDD1

Divisor Catalog (60 of 64)

1 3 5 15 17 19 25 51 57 61 75 85 95 125 183 255 285 305 323 375 425 475 915 969 1,037 1,159 1,275 1,425 1,525 1,615 2,125 2,375 3,111 3,477 4,575 4,845 5,185 5,795 6,375 7,125 7,625 8,075 15,555 17,385 19,703 22,875 24,225 25,925 28,975 40,375 59,109 77,775 86,925 98,515 121,125 129,625 144,875 295,545 388,875 434,625

Collatz Trajectory (173 steps to reach 1)

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

7,388,625 22,165,876 11,082,938 5,541,469 16,624,408 8,312,204 4,156,102 2,078,051 6,234,154 3,117,077 9,351,232 4,675,616 2,337,808 1,168,904 584,452 292,226 146,113 438,340 219,170 109,585 328,756 164,378 82,189 246,568 123,284 61,642 30,821 92,464 46,232 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218

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