λ
Harmonic Matrix

9,084,070

2 × 5 × 113 × 8039
Deficient Even Composite

9,084,070 has digital root 1. The neighboring primes are 9084043 and 9084073; its proper-divisor sum differs from the starting integer by -1,670,060.

Prime Factor Structure

Factorization String 2 × 5 × 113 × 8039
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,498,080
Proper Divisor Sum 7,414,010
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9084043 ← → #9084073

Radix Representation

Decimal 9084070
Binary 100010101001110010100110 (24 bits)
Octal 0o42516246
Hexadecimal 0x8A9CA6

Divisor Catalog (16)

1 2 5 10 113 226 565 1,130 8,039 16,078 40,195 80,390 908,407 1,816,814 4,542,035 9,084,070

Collatz Trajectory (256 steps to reach 1)

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

9,084,070 4,542,035 13,626,106 6,813,053 20,439,160 10,219,580 5,109,790 2,554,895 7,664,686 3,832,343 11,497,030 5,748,515 17,245,546 8,622,773 25,868,320 12,934,160 6,467,080 3,233,540 1,616,770 808,385 2,425,156 1,212,578 606,289 1,818,868 909,434 454,717 1,364,152 682,076 341,038 170,519 511,558 255,779 767,338 383,669 1,151,008 575,504 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622

More profiles

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