9,001,920

2⁶ × 3 × 5 × 9377

9,001,920 has digital root 3. The neighboring primes are 9001897 and 9001933; its proper-divisor sum differs from the starting integer by 10,580,304.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 9377

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 28,584,144

Proper Divisor Sum 19,582,224

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9001897 ← → #9001933

Radix Representation

Decimal	9001920
Binary	100010010101101111000000 (24 bits)
Octal	0o42255700
Hexadecimal	0x895BC0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 9,377 18,754 28,131 37,508 46,885 56,262 75,016 93,770 112,524 140,655 150,032 187,540 225,048 281,310 300,064 375,080 450,096 562,620 600,128 750,160 900,192 1,125,240 1,500,320 1,800,384 2,250,480 3,000,640 4,500,960 9,001,920

Collatz Trajectory (137 steps to reach 1)

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

9,001,920 4,500,960 2,250,480 1,125,240 562,620 281,310 140,655 421,966 210,983 632,950 316,475 949,426 474,713 1,424,140 712,070 356,035 1,068,106 534,053 1,602,160 801,080 400,540 200,270 100,135 300,406 150,203 450,610 225,305 675,916 337,958 168,979 506,938 253,469 760,408 380,204 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104

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