2,288,088

2³ × 3⁵ × 11 × 107

2,288,088 has digital root 9. The neighboring primes are 2288059 and 2288089; its proper-divisor sum differs from the starting integer by 2,499,984.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 11 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,076,160

Proper Divisor Sum 4,788,072

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2288059 ← → #2288089

Radix Representation

Decimal	2288088
Binary	1000101110100111011000 (22 bits)
Octal	0o10564730
Hexadecimal	0x22E9D8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 107 108 132 162 198 214 216 243 264 297 321 324 396 428 486 594 642 648 792 856 891 963 972 1,177 1,188 1,284 1,782 1,926 1,944 2,354 2,376 2,568 2,673 2,889 3,531 3,564 3,852 4,708

Collatz Trajectory (148 steps to reach 1)

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

2,288,088 1,144,044 572,022 286,011 858,034 429,017 1,287,052 643,526 321,763 965,290 482,645 1,447,936 723,968 361,984 180,992 90,496 45,248 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412

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