λ
Integer Codex

9,230,247

33 × 13 × 26297
Deficient Odd Composite

For 9,230,247, the 16 positive divisors have a total of 14,726,880. Removing 9,230,247 leaves 5,496,633, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 13 × 26297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,726,880
Proper Divisor Sum 5,496,633
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9230239 ← → #9230267

Radix Representation

Decimal 9230247
Binary 100011001101011110100111 (24 bits)
Octal 0o43153647
Hexadecimal 0x8CD7A7

Divisor Catalog (16)

1 3 9 13 27 39 117 351 26,297 78,891 236,673 341,861 710,019 1,025,583 3,076,749 9,230,247

Collatz Trajectory (212 steps to reach 1)

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

9,230,247 27,690,742 13,845,371 41,536,114 20,768,057 62,304,172 31,152,086 15,576,043 46,728,130 23,364,065 70,092,196 35,046,098 17,523,049 52,569,148 26,284,574 13,142,287 39,426,862 19,713,431 59,140,294 29,570,147 88,710,442 44,355,221 133,065,664 66,532,832 33,266,416 16,633,208 8,316,604 4,158,302 2,079,151 6,237,454 3,118,727 9,356,182 4,678,091 14,034,274 7,017,137 21,051,412 10,525,706 5,262,853 15,788,560 7,894,280 3,947,140 1,973,570 986,785 2,960,356 1,480,178 740,089 2,220,268 1,110,134 555,067 1,665,202 832,601 2,497,804 1,248,902 624,451 1,873,354 936,677 2,810,032 1,405,016 702,508 351,254

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