2,001,024

2⁷ × 3⁴ × 193

2,001,024 has digital root 9. The neighboring primes are 2000989 and 2001037; its proper-divisor sum differs from the starting integer by 1,983,822.

Prime Factor Structure

Factorization String 2^7 × 3^4 × 193

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 5,985,870

Proper Divisor Sum 3,984,846

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2000989 ← → #2001037

Radix Representation

Decimal	2001024
Binary	111101000100010000000 (21 bits)
Octal	0o7504200
Hexadecimal	0x1E8880

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 193 216 288 324 384 386 432 576 579 648 772 864 1,152 1,158 1,296 1,544 1,728 1,737 2,316 2,592 3,088 3,456 3,474 4,632 5,184 5,211 6,176 6,948 9,264 10,368 10,422 12,352 13,896 15,633 18,528

Collatz Trajectory (47 steps to reach 1)

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

2,001,024 1,000,512 500,256 250,128 125,064 62,532 31,266 15,633 46,900 23,450 11,725 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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