λ
Integer Codex

9,712,179

32 × 103 × 10477
Deficient Odd Composite

For 9,712,179, the 12 positive divisors have a total of 14,166,256. Removing 9,712,179 leaves 4,454,077, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 103 × 10477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,166,256
Proper Divisor Sum 4,454,077
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9712147 ← → #9712189

Radix Representation

Decimal 9712179
Binary 100101000011001000110011 (24 bits)
Octal 0o45031063
Hexadecimal 0x943233

Divisor Catalog (12)

1 3 9 103 309 927 10,477 31,431 94,293 1,079,131 3,237,393 9,712,179

Collatz Trajectory (101 steps to reach 1)

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

9,712,179 29,136,538 14,568,269 43,704,808 21,852,404 10,926,202 5,463,101 16,389,304 8,194,652 4,097,326 2,048,663 6,145,990 3,072,995 9,218,986 4,609,493 13,828,480 6,914,240 3,457,120 1,728,560 864,280 432,140 216,070 108,035 324,106 162,053 486,160 243,080 121,540 60,770 30,385 91,156 45,578 22,789 68,368 34,184 17,092 8,546 4,273 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287

More profiles

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