9,632,516

2² × 43 × 56003

For 9,632,516, the 12 positive divisors have a total of 17,249,232. Removing 9,632,516 leaves 7,616,716, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 43 × 56003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,249,232

Proper Divisor Sum 7,616,716

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9632507 ← → #9632521

Radix Representation

Decimal	9632516
Binary	100100101111101100000100 (24 bits)
Octal	0o44575404
Hexadecimal	0x92FB04

Divisor Catalog (12)

1 2 4 43 86 172 56,003 112,006 224,012 2,408,129 4,816,258 9,632,516

Collatz Trajectory (119 steps to reach 1)

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

9,632,516 4,816,258 2,408,129 7,224,388 3,612,194 1,806,097 5,418,292 2,709,146 1,354,573 4,063,720 2,031,860 1,015,930 507,965 1,523,896 761,948 380,974 190,487 571,462 285,731 857,194 428,597 1,285,792 642,896 321,448 160,724 80,362 40,181 120,544 60,272 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

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