9,686,637

3² × 19 × 37 × 1531

For 9,686,637, the 24 positive divisors have a total of 15,136,160. Removing 9,686,637 leaves 5,449,523, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 19 × 37 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,136,160

Proper Divisor Sum 5,449,523

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9686629 ← → #9686647

Radix Representation

Decimal	9686637
Binary	100100111100111001101101 (24 bits)
Octal	0o44747155
Hexadecimal	0x93CE6D

Divisor Catalog (24)

1 3 9 19 37 57 111 171 333 703 1,531 2,109 4,593 6,327 13,779 29,089 56,647 87,267 169,941 261,801 509,823 1,076,293 3,228,879 9,686,637

Collatz Trajectory (114 steps to reach 1)

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

9,686,637 29,059,912 14,529,956 7,264,978 3,632,489 10,897,468 5,448,734 2,724,367 8,173,102 4,086,551 12,259,654 6,129,827 18,389,482 9,194,741 27,584,224 13,792,112 6,896,056 3,448,028 1,724,014 862,007 2,586,022 1,293,011 3,879,034 1,939,517 5,818,552 2,909,276 1,454,638 727,319 2,181,958 1,090,979 3,272,938 1,636,469 4,909,408 2,454,704 1,227,352 613,676 306,838 153,419 460,258 230,129 690,388 345,194 172,597 517,792 258,896 129,448 64,724 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708

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