9,727,663

11 × 67² × 197

9,727,663 factors as 11 × 67^2 × 197. Its 12 positive divisors give a proper-divisor sum of 1,099,769, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 11 × 67^2 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,827,432

Proper Divisor Sum 1,099,769

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9727661 ← → #9727681

Radix Representation

Decimal	9727663
Binary	100101000110111010101111 (24 bits)
Octal	0o45067257
Hexadecimal	0x946EAF

Divisor Catalog (12)

1 11 67 197 737 2,167 4,489 13,199 49,379 145,189 884,333 9,727,663

Collatz Trajectory (145 steps to reach 1)

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

9,727,663 29,182,990 14,591,495 43,774,486 21,887,243 65,661,730 32,830,865 98,492,596 49,246,298 24,623,149 73,869,448 36,934,724 18,467,362 9,233,681 27,701,044 13,850,522 6,925,261 20,775,784 10,387,892 5,193,946 2,596,973 7,790,920 3,895,460 1,947,730 973,865 2,921,596 1,460,798 730,399 2,191,198 1,095,599 3,286,798 1,643,399 4,930,198 2,465,099 7,395,298 3,697,649 11,092,948 5,546,474 2,773,237 8,319,712 4,159,856 2,079,928 1,039,964 519,982 259,991 779,974 389,987 1,169,962 584,981 1,754,944 877,472 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283

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