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Atlas › Integer Profiles › Node 9,873,369

9,873,369

32 × 11 × 19 × 29 × 181
Deficient Odd Composite

9,873,369 factors as 3^2 × 11 × 19 × 29 × 181. Its 48 positive divisors give a proper-divisor sum of 7,161,831, so this integer is deficient. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 19 × 29 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,035,200
Proper Divisor Sum 7,161,831
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9873349 ← → #9873373

Radix Representation

Decimal 9873369
Binary 100101101010011111011001 (24 bits)
Octal 0o45523731
Hexadecimal 0x96A7D9

Divisor Catalog (48)

1 3 9 11 19 29 33 57 87 99 171 181 209 261 319 543 551 627 957 1,629 1,653 1,881 1,991 2,871 3,439 4,959 5,249 5,973 6,061 10,317 15,747 17,919 18,183 30,951 37,829 47,241 54,549 57,739 99,731 113,487 173,217 299,193 340,461 519,651 897,579 1,097,041 3,291,123 9,873,369

Collatz Trajectory (57 steps to reach 1)

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

9,873,369 29,620,108 14,810,054 7,405,027 22,215,082 11,107,541 33,322,624 16,661,312 8,330,656 4,165,328 2,082,664 1,041,332 520,666 260,333 781,000 390,500 195,250 97,625 292,876 146,438 73,219 219,658 109,829 329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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