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Atlas › Integer Profiles › Node 9,999,561

9,999,561

3 × 112 × 132 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11^2 × 13^2 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,966,384
Proper Divisor Sum 5,966,823
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9999533 ← → #9999593

Radix Representation

Decimal 9999561
Binary 100110001001010011001001 (24 bits)
Octal 0o46112311
Hexadecimal 0x9894C9

Divisor Catalog (36)

1 3 11 13 33 39 121 143 163 169 363 429 489 507 1,573 1,793 1,859 2,119 4,719 5,379 5,577 6,357 19,723 20,449 23,309 27,547 59,169 61,347 69,927 82,641 256,399 303,017 769,197 909,051 3,333,187 9,999,561

Collatz Trajectory (57 steps to reach 1)

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

9,999,561 29,998,684 14,999,342 7,499,671 22,499,014 11,249,507 33,748,522 16,874,261 50,622,784 25,311,392 12,655,696 6,327,848 3,163,924 1,581,962 790,981 2,372,944 1,186,472 593,236 296,618 148,309 444,928 222,464 111,232 55,616 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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