λ
Integer Codex

9,093,704

23 × 19 × 29 × 2063
Abundant Even Composite

For 9,093,704, the 32 positive divisors have a total of 18,576,000. Removing 9,093,704 leaves 9,482,296, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 19 × 29 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,576,000
Proper Divisor Sum 9,482,296
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9093661 ← → #9093713

Radix Representation

Decimal 9093704
Binary 100010101100001001001000 (24 bits)
Octal 0o42541110
Hexadecimal 0x8AC248

Divisor Catalog (32)

1 2 4 8 19 29 38 58 76 116 152 232 551 1,102 2,063 2,204 4,126 4,408 8,252 16,504 39,197 59,827 78,394 119,654 156,788 239,308 313,576 478,616 1,136,713 2,273,426 4,546,852 9,093,704

Collatz Trajectory (132 steps to reach 1)

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

9,093,704 4,546,852 2,273,426 1,136,713 3,410,140 1,705,070 852,535 2,557,606 1,278,803 3,836,410 1,918,205 5,754,616 2,877,308 1,438,654 719,327 2,157,982 1,078,991 3,236,974 1,618,487 4,855,462 2,427,731 7,283,194 3,641,597 10,924,792 5,462,396 2,731,198 1,365,599 4,096,798 2,048,399 6,145,198 3,072,599 9,217,798 4,608,899 13,826,698 6,913,349 20,740,048 10,370,024 5,185,012 2,592,506 1,296,253 3,888,760 1,944,380 972,190 486,095 1,458,286 729,143 2,187,430 1,093,715 3,281,146 1,640,573 4,921,720 2,460,860 1,230,430 615,215 1,845,646 922,823 2,768,470 1,384,235 4,152,706 2,076,353

More profiles

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