λ
Integer Codex

9,621,384

23 × 3 × 503 × 797
Abundant Even Composite

For 9,621,384, the 32 positive divisors have a total of 24,131,520. Removing 9,621,384 leaves 14,510,136, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 503 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,131,520
Proper Divisor Sum 14,510,136
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9621349 ← → #9621397

Radix Representation

Decimal 9621384
Binary 100100101100111110001000 (24 bits)
Octal 0o44547610
Hexadecimal 0x92CF88

Divisor Catalog (32)

1 2 3 4 6 8 12 24 503 797 1,006 1,509 1,594 2,012 2,391 3,018 3,188 4,024 4,782 6,036 6,376 9,564 12,072 19,128 400,891 801,782 1,202,673 1,603,564 2,405,346 3,207,128 4,810,692 9,621,384

Collatz Trajectory (238 steps to reach 1)

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

9,621,384 4,810,692 2,405,346 1,202,673 3,608,020 1,804,010 902,005 2,706,016 1,353,008 676,504 338,252 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172

More profiles

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