λ
Harmonic Matrix

9,032,104

23 × 1129013
Deficient Even Composite

9,032,104 has digital root 1. The neighboring primes are 9032099 and 9032119; its proper-divisor sum differs from the starting integer by -1,128,998.

Prime Factor Structure

Factorization String 2^3 × 1129013
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,935,210
Proper Divisor Sum 7,903,106
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #9032099 ← → #9032119

Radix Representation

Decimal 9032104
Binary 100010011101000110101000 (24 bits)
Octal 0o42350650
Hexadecimal 0x89D1A8

Divisor Catalog (8)

1 2 4 8 1,129,013 2,258,026 4,516,052 9,032,104

Collatz Trajectory (88 steps to reach 1)

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

9,032,104 4,516,052 2,258,026 1,129,013 3,387,040 1,693,520 846,760 423,380 211,690 105,845 317,536 158,768 79,384 39,692 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268

More profiles

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