9,765,409

23 × 53 × 8011

9,765,409 factors as 23 × 53 × 8011. Its 8 positive divisors give a proper-divisor sum of 618,143, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 23 × 53 × 8011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,383,552

Proper Divisor Sum 618,143

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9765407 ← → #9765433

Radix Representation

Decimal	9765409
Binary	100101010000001000100001 (24 bits)
Octal	0o45201041
Hexadecimal	0x950221

Divisor Catalog (8)

1 23 53 1,219 8,011 184,253 424,583 9,765,409

Collatz Trajectory (114 steps to reach 1)

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

9,765,409 29,296,228 14,648,114 7,324,057 21,972,172 10,986,086 5,493,043 16,479,130 8,239,565 24,718,696 12,359,348 6,179,674 3,089,837 9,269,512 4,634,756 2,317,378 1,158,689 3,476,068 1,738,034 869,017 2,607,052 1,303,526 651,763 1,955,290 977,645 2,932,936 1,466,468 733,234 366,617 1,099,852 549,926 274,963 824,890 412,445 1,237,336 618,668 309,334 154,667 464,002 232,001 696,004 348,002 174,001 522,004 261,002 130,501 391,504 195,752 97,876 48,938 24,469 73,408 36,704 18,352 9,176 4,588 2,294 1,147 3,442 1,721

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