8,009,409

3 × 2669803

For 8,009,409, the 4 positive divisors have a total of 10,679,216. Removing 8,009,409 leaves 2,669,807, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2669803

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,679,216

Proper Divisor Sum 2,669,807

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8009399 ← → #8009453

Radix Representation

Decimal	8009409
Binary	11110100011011011000001 (23 bits)
Octal	0o36433301
Hexadecimal	0x7A36C1

Divisor Catalog (4)

1 3 2,669,803 8,009,409

Collatz Trajectory (116 steps to reach 1)

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

8,009,409 24,028,228 12,014,114 6,007,057 18,021,172 9,010,586 4,505,293 13,515,880 6,757,940 3,378,970 1,689,485 5,068,456 2,534,228 1,267,114 633,557 1,900,672 950,336 475,168 237,584 118,792 59,396 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471

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