9,988,064

2⁵ × 29 × 47 × 229

9,988,064 has digital root 8. The neighboring primes are 9988063 and 9988073; its proper-divisor sum differs from the starting integer by 889,472.

Prime Factor Structure

Factorization String 2^5 × 29 × 47 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,865,600

Proper Divisor Sum 10,877,536

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9988063 ← → #9988073

Radix Representation

Decimal	9988064
Binary	100110000110011111100000 (24 bits)
Octal	0o46063740
Hexadecimal	0x9867E0

Divisor Catalog (48)

1 2 4 8 16 29 32 47 58 94 116 188 229 232 376 458 464 752 916 928 1,363 1,504 1,832 2,726 3,664 5,452 6,641 7,328 10,763 10,904 13,282 21,526 21,808 26,564 43,052 43,616 53,128 86,104 106,256 172,208 212,512 312,127 344,416 624,254 1,248,508 2,497,016 4,994,032 9,988,064

Collatz Trajectory (137 steps to reach 1)

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

9,988,064 4,994,032 2,497,016 1,248,508 624,254 312,127 936,382 468,191 1,404,574 702,287 2,106,862 1,053,431 3,160,294 1,580,147 4,740,442 2,370,221 7,110,664 3,555,332 1,777,666 888,833 2,666,500 1,333,250 666,625 1,999,876 999,938 499,969 1,499,908 749,954 374,977 1,124,932 562,466 281,233 843,700 421,850 210,925 632,776 316,388 158,194 79,097 237,292 118,646 59,323 177,970 88,985 266,956 133,478 66,739 200,218 100,109 300,328 150,164 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559

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