9,988,601

7² × 23 × 8863

9,988,601 has digital root 5. The neighboring primes are 9988579 and 9988607; its proper-divisor sum differs from the starting integer by -7,851,250.

Prime Factor Structure

Factorization String 7^2 × 23 × 8863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,125,952

Proper Divisor Sum 2,137,351

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9988579 ← → #9988607

Radix Representation

Decimal	9988601
Binary	100110000110100111111001 (24 bits)
Octal	0o46064771
Hexadecimal	0x9869F9

Divisor Catalog (12)

1 7 23 49 161 1,127 8,863 62,041 203,849 434,287 1,426,943 9,988,601

Collatz Trajectory (176 steps to reach 1)

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

9,988,601 29,965,804 14,982,902 7,491,451 22,474,354 11,237,177 33,711,532 16,855,766 8,427,883 25,283,650 12,641,825 37,925,476 18,962,738 9,481,369 28,444,108 14,222,054 7,111,027 21,333,082 10,666,541 31,999,624 15,999,812 7,999,906 3,999,953 11,999,860 5,999,930 2,999,965 8,999,896 4,499,948 2,249,974 1,124,987 3,374,962 1,687,481 5,062,444 2,531,222 1,265,611 3,796,834 1,898,417 5,695,252 2,847,626 1,423,813 4,271,440 2,135,720 1,067,860 533,930 266,965 800,896 400,448 200,224 100,112 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760

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