λ
Harmonic Matrix

9,008,169

3 × 3002723
Deficient Odd Composite

9,008,169 has digital root 6. The neighboring primes are 9008141 and 9008171; its proper-divisor sum differs from the starting integer by -6,005,442.

Prime Factor Structure

Factorization String 3 × 3002723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,010,896
Proper Divisor Sum 3,002,727
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9008141 ← → #9008171

Radix Representation

Decimal 9008169
Binary 100010010111010000101001 (24 bits)
Octal 0o42272051
Hexadecimal 0x897429

Divisor Catalog (4)

1 3 3,002,723 9,008,169

Collatz Trajectory (93 steps to reach 1)

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

9,008,169 27,024,508 13,512,254 6,756,127 20,268,382 10,134,191 30,402,574 15,201,287 45,603,862 22,801,931 68,405,794 34,202,897 102,608,692 51,304,346 25,652,173 76,956,520 38,478,260 19,239,130 9,619,565 28,858,696 14,429,348 7,214,674 3,607,337 10,822,012 5,411,006 2,705,503 8,116,510 4,058,255 12,174,766 6,087,383 18,262,150 9,131,075 27,393,226 13,696,613 41,089,840 20,544,920 10,272,460 5,136,230 2,568,115 7,704,346 3,852,173 11,556,520 5,778,260 2,889,130 1,444,565 4,333,696 2,166,848 1,083,424 541,712 270,856 135,428 67,714 33,857 101,572 50,786 25,393 76,180 38,090 19,045 57,136

More profiles

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