9,429,225

3 × 5² × 13 × 19 × 509

9,429,225 has the prime decomposition 3 × 5^2 × 13 × 19 × 509. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 19 × 509

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,707,200

Proper Divisor Sum 8,277,975

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9429223 ← → #9429229

Radix Representation

Decimal	9429225
Binary	100011111110000011101001 (24 bits)
Octal	0o43760351
Hexadecimal	0x8FE0E9

Divisor Catalog (48)

1 3 5 13 15 19 25 39 57 65 75 95 195 247 285 325 475 509 741 975 1,235 1,425 1,527 2,545 3,705 6,175 6,617 7,635 9,671 12,725 18,525 19,851 29,013 33,085 38,175 48,355 99,255 125,723 145,065 165,425 241,775 377,169 496,275 628,615 725,325 1,885,845 3,143,075 9,429,225

Collatz Trajectory (176 steps to reach 1)

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

9,429,225 28,287,676 14,143,838 7,071,919 21,215,758 10,607,879 31,823,638 15,911,819 47,735,458 23,867,729 71,603,188 35,801,594 17,900,797 53,702,392 26,851,196 13,425,598 6,712,799 20,138,398 10,069,199 30,207,598 15,103,799 45,311,398 22,655,699 67,967,098 33,983,549 101,950,648 50,975,324 25,487,662 12,743,831 38,231,494 19,115,747 57,347,242 28,673,621 86,020,864 43,010,432 21,505,216 10,752,608 5,376,304 2,688,152 1,344,076 672,038 336,019 1,008,058 504,029 1,512,088 756,044 378,022 189,011 567,034 283,517 850,552 425,276 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829

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