λ
Harmonic Matrix

9,798,172

22 × 29 × 84467
Deficient Even Composite

9,798,172 has digital root 7. The neighboring primes are 9798169 and 9798193; its proper-divisor sum differs from the starting integer by -1,858,064.

Prime Factor Structure

Factorization String 2^2 × 29 × 84467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,738,280
Proper Divisor Sum 7,940,108
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9798169 ← → #9798193

Radix Representation

Decimal 9798172
Binary 100101011000001000011100 (24 bits)
Octal 0o45301034
Hexadecimal 0x95821C

Divisor Catalog (12)

1 2 4 29 58 116 84,467 168,934 337,868 2,449,543 4,899,086 9,798,172

Collatz Trajectory (176 steps to reach 1)

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

9,798,172 4,899,086 2,449,543 7,348,630 3,674,315 11,022,946 5,511,473 16,534,420 8,267,210 4,133,605 12,400,816 6,200,408 3,100,204 1,550,102 775,051 2,325,154 1,162,577 3,487,732 1,743,866 871,933 2,615,800 1,307,900 653,950 326,975 980,926 490,463 1,471,390 735,695 2,207,086 1,103,543 3,310,630 1,655,315 4,965,946 2,482,973 7,448,920 3,724,460 1,862,230 931,115 2,793,346 1,396,673 4,190,020 2,095,010 1,047,505 3,142,516 1,571,258 785,629 2,356,888 1,178,444 589,222 294,611 883,834 441,917 1,325,752 662,876 331,438 165,719 497,158 248,579 745,738 372,869

More profiles

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