λ
Integer Codex

8,438,009

167 × 50527
Deficient Odd Composite

For 8,438,009, the 4 positive divisors have a total of 8,488,704. Removing 8,438,009 leaves 50,695, which gives the deficient classification.

Prime Factor Structure

Factorization String 167 × 50527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,488,704
Proper Divisor Sum 50,695
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8437991 ← → #8438011

Radix Representation

Decimal 8438009
Binary 100000001100000011111001 (24 bits)
Octal 0o40140371
Hexadecimal 0x80C0F9

Divisor Catalog (4)

1 167 50,527 8,438,009

Collatz Trajectory (155 steps to reach 1)

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

8,438,009 25,314,028 12,657,014 6,328,507 18,985,522 9,492,761 28,478,284 14,239,142 7,119,571 21,358,714 10,679,357 32,038,072 16,019,036 8,009,518 4,004,759 12,014,278 6,007,139 18,021,418 9,010,709 27,032,128 13,516,064 6,758,032 3,379,016 1,689,508 844,754 422,377 1,267,132 633,566 316,783 950,350 475,175 1,425,526 712,763 2,138,290 1,069,145 3,207,436 1,603,718 801,859 2,405,578 1,202,789 3,608,368 1,804,184 902,092 451,046 225,523 676,570 338,285 1,014,856 507,428 253,714 126,857 380,572 190,286 95,143 285,430 142,715 428,146 214,073 642,220 321,110

More profiles

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