λ
Integer Codex

9,709,249

11 × 882659
Deficient Odd Composite

For 9,709,249, the 4 positive divisors have a total of 10,591,920. Removing 9,709,249 leaves 882,671, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 882659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,591,920
Proper Divisor Sum 882,671
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9709237 ← → #9709253

Radix Representation

Decimal 9709249
Binary 100101000010011011000001 (24 bits)
Octal 0o45023301
Hexadecimal 0x9426C1

Divisor Catalog (4)

1 11 882,659 9,709,249

Collatz Trajectory (70 steps to reach 1)

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

9,709,249 29,127,748 14,563,874 7,281,937 21,845,812 10,922,906 5,461,453 16,384,360 8,192,180 4,096,090 2,048,045 6,144,136 3,072,068 1,536,034 768,017 2,304,052 1,152,026 576,013 1,728,040 864,020 432,010 216,005 648,016 324,008 162,004 81,002 40,501 121,504 60,752 30,376 15,188 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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