9,728,637

3 × 31 × 73 × 1433

For 9,728,637, the 16 positive divisors have a total of 13,582,848. Removing 9,728,637 leaves 3,854,211, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 31 × 73 × 1433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,582,848

Proper Divisor Sum 3,854,211

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9728617 ← → #9728639

Radix Representation

Decimal	9728637
Binary	100101000111001001111101 (24 bits)
Octal	0o45071175
Hexadecimal	0x94727D

Divisor Catalog (16)

1 3 31 73 93 219 1,433 2,263 4,299 6,789 44,423 104,609 133,269 313,827 3,242,879 9,728,637

Collatz Trajectory (176 steps to reach 1)

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

9,728,637 29,185,912 14,592,956 7,296,478 3,648,239 10,944,718 5,472,359 16,417,078 8,208,539 24,625,618 12,312,809 36,938,428 18,469,214 9,234,607 27,703,822 13,851,911 41,555,734 20,777,867 62,333,602 31,166,801 93,500,404 46,750,202 23,375,101 70,125,304 35,062,652 17,531,326 8,765,663 26,296,990 13,148,495 39,445,486 19,722,743 59,168,230 29,584,115 88,752,346 44,376,173 133,128,520 66,564,260 33,282,130 16,641,065 49,923,196 24,961,598 12,480,799 37,442,398 18,721,199 56,163,598 28,081,799 84,245,398 42,122,699 126,368,098 63,184,049 189,552,148 94,776,074 47,388,037 142,164,112 71,082,056 35,541,028 17,770,514 8,885,257 26,655,772 13,327,886

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