9,731,764

2² × 7 × 347563

For 9,731,764, the 12 positive divisors have a total of 19,463,584. Removing 9,731,764 leaves 9,731,820, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7 × 347563

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,463,584

Proper Divisor Sum 9,731,820

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9731753 ← → #9731767

Radix Representation

Decimal	9731764
Binary	100101000111111010110100 (24 bits)
Octal	0o45077264
Hexadecimal	0x947EB4

Divisor Catalog (12)

1 2 4 7 14 28 347,563 695,126 1,390,252 2,432,941 4,865,882 9,731,764

Collatz Trajectory (163 steps to reach 1)

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

9,731,764 4,865,882 2,432,941 7,298,824 3,649,412 1,824,706 912,353 2,737,060 1,368,530 684,265 2,052,796 1,026,398 513,199 1,539,598 769,799 2,309,398 1,154,699 3,464,098 1,732,049 5,196,148 2,598,074 1,299,037 3,897,112 1,948,556 974,278 487,139 1,461,418 730,709 2,192,128 1,096,064 548,032 274,016 137,008 68,504 34,252 17,126 8,563 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286

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