9,720,508

2² × 7 × 347161

9,720,508 factors as 2^2 × 7 × 347161. Its 12 positive divisors give a proper-divisor sum of 9,720,564, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 347161

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,441,072

Proper Divisor Sum 9,720,564

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9720497 ← → #9720521

Radix Representation

Decimal	9720508
Binary	100101000101001010111100 (24 bits)
Octal	0o45051274
Hexadecimal	0x9452BC

Divisor Catalog (12)

1 2 4 7 14 28 347,161 694,322 1,388,644 2,430,127 4,860,254 9,720,508

Collatz Trajectory (132 steps to reach 1)

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

9,720,508 4,860,254 2,430,127 7,290,382 3,645,191 10,935,574 5,467,787 16,403,362 8,201,681 24,605,044 12,302,522 6,151,261 18,453,784 9,226,892 4,613,446 2,306,723 6,920,170 3,460,085 10,380,256 5,190,128 2,595,064 1,297,532 648,766 324,383 973,150 486,575 1,459,726 729,863 2,189,590 1,094,795 3,284,386 1,642,193 4,926,580 2,463,290 1,231,645 3,694,936 1,847,468 923,734 461,867 1,385,602 692,801 2,078,404 1,039,202 519,601 1,558,804 779,402 389,701 1,169,104 584,552 292,276 146,138 73,069 219,208 109,604 54,802 27,401 82,204 41,102 20,551 61,654

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