2,988,128

2⁵ × 11 × 13 × 653

2,988,128 has digital root 2. The neighboring primes are 2988101 and 2988143; its proper-divisor sum differs from the starting integer by 945,680.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,921,936

Proper Divisor Sum 3,933,808

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2988101 ← → #2988143

Radix Representation

Decimal	2988128
Binary	1011011001100001100000 (22 bits)
Octal	0o13314140
Hexadecimal	0x2D9860

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 653 1,144 1,306 2,288 2,612 4,576 5,224 7,183 8,489 10,448 14,366 16,978 20,896 28,732 33,956 57,464 67,912 93,379 114,928 135,824 186,758 229,856 271,648 373,516 747,032 1,494,064 2,988,128

Collatz Trajectory (89 steps to reach 1)

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

2,988,128 1,494,064 747,032 373,516 186,758 93,379 280,138 140,069 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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