λ
Ratio Atlas

9,740,409

3 × 7 × 463829
Deficient Odd Composite

9,740,409 factors as 3 × 7 × 463829. Its 8 positive divisors give a proper-divisor sum of 5,102,151, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 7 × 463829
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,842,560
Proper Divisor Sum 5,102,151
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9740399 ← → #9740413

Radix Representation

Decimal 9740409
Binary 100101001010000001111001 (24 bits)
Octal 0o45120171
Hexadecimal 0x94A079

Divisor Catalog (8)

Collatz Trajectory (176 steps to reach 1)

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

9,740,409 29,221,228 14,610,614 7,305,307 21,915,922 10,957,961 32,873,884 16,436,942 8,218,471 24,655,414 12,327,707 36,983,122 18,491,561 55,474,684 27,737,342 13,868,671 41,606,014 20,803,007 62,409,022 31,204,511 93,613,534 46,806,767 140,420,302 70,210,151 210,630,454 105,315,227 315,945,682 157,972,841 473,918,524 236,959,262 118,479,631 355,438,894 177,719,447 533,158,342 266,579,171 799,737,514 399,868,757 1,199,606,272 599,803,136 299,901,568 149,950,784 74,975,392 37,487,696 18,743,848 9,371,924 4,685,962 2,342,981 7,028,944 3,514,472 1,757,236 878,618 439,309 1,317,928 658,964 329,482 164,741 494,224 247,112 123,556 61,778

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