λ
Integer Codex

9,279,039

3 × 7 × 11 × 40169
Deficient Odd Composite

For 9,279,039, the 16 positive divisors have a total of 15,425,280. Removing 9,279,039 leaves 6,146,241, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 40169
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,425,280
Proper Divisor Sum 6,146,241
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9279037 ← → #9279041

Radix Representation

Decimal 9279039
Binary 100011011001011000111111 (24 bits)
Octal 0o43313077
Hexadecimal 0x8D963F

Divisor Catalog (16)

1 3 7 11 21 33 77 231 40,169 120,507 281,183 441,859 843,549 1,325,577 3,093,013 9,279,039

Collatz Trajectory (163 steps to reach 1)

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

9,279,039 27,837,118 13,918,559 41,755,678 20,877,839 62,633,518 31,316,759 93,950,278 46,975,139 140,925,418 70,462,709 211,388,128 105,694,064 52,847,032 26,423,516 13,211,758 6,605,879 19,817,638 9,908,819 29,726,458 14,863,229 44,589,688 22,294,844 11,147,422 5,573,711 16,721,134 8,360,567 25,081,702 12,540,851 37,622,554 18,811,277 56,433,832 28,216,916 14,108,458 7,054,229 21,162,688 10,581,344 5,290,672 2,645,336 1,322,668 661,334 330,667 992,002 496,001 1,488,004 744,002 372,001 1,116,004 558,002 279,001 837,004 418,502 209,251 627,754 313,877 941,632 470,816 235,408 117,704 58,852

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