9,267,375

3 × 5³ × 13 × 1901

For 9,267,375, the 32 positive divisors have a total of 16,615,872. Removing 9,267,375 leaves 7,348,497, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 13 × 1901

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,615,872

Proper Divisor Sum 7,348,497

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9267371 ← → #9267389

Radix Representation

Decimal	9267375
Binary	100011010110100010101111 (24 bits)
Octal	0o43264257
Hexadecimal	0x8D68AF

Divisor Catalog (32)

1 3 5 13 15 25 39 65 75 125 195 325 375 975 1,625 1,901 4,875 5,703 9,505 24,713 28,515 47,525 74,139 123,565 142,575 237,625 370,695 617,825 712,875 1,853,475 3,089,125 9,267,375

Collatz Trajectory (225 steps to reach 1)

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

9,267,375 27,802,126 13,901,063 41,703,190 20,851,595 62,554,786 31,277,393 93,832,180 46,916,090 23,458,045 70,374,136 35,187,068 17,593,534 8,796,767 26,390,302 13,195,151 39,585,454 19,792,727 59,378,182 29,689,091 89,067,274 44,533,637 133,600,912 66,800,456 33,400,228 16,700,114 8,350,057 25,050,172 12,525,086 6,262,543 18,787,630 9,393,815 28,181,446 14,090,723 42,272,170 21,136,085 63,408,256 31,704,128 15,852,064 7,926,032 3,963,016 1,981,508 990,754 495,377 1,486,132 743,066 371,533 1,114,600 557,300 278,650 139,325 417,976 208,988 104,494 52,247 156,742 78,371 235,114 117,557 352,672

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