λ
Harmonic Matrix

8,613,484

22 × 11 × 195761
Deficient Even Composite

8,613,484 has digital root 7. The neighboring primes are 8613481 and 8613529; its proper-divisor sum differs from the starting integer by -782,960.

Prime Factor Structure

Factorization String 2^2 × 11 × 195761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,444,008
Proper Divisor Sum 7,830,524
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8613481 ← → #8613529

Radix Representation

Decimal 8613484
Binary 100000110110111001101100 (24 bits)
Octal 0o40667154
Hexadecimal 0x836E6C

Divisor Catalog (12)

1 2 4 11 22 44 195,761 391,522 783,044 2,153,371 4,306,742 8,613,484

Collatz Trajectory (168 steps to reach 1)

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

8,613,484 4,306,742 2,153,371 6,460,114 3,230,057 9,690,172 4,845,086 2,422,543 7,267,630 3,633,815 10,901,446 5,450,723 16,352,170 8,176,085 24,528,256 12,264,128 6,132,064 3,066,032 1,533,016 766,508 383,254 191,627 574,882 287,441 862,324 431,162 215,581 646,744 323,372 161,686 80,843 242,530 121,265 363,796 181,898 90,949 272,848 136,424 68,212 34,106 17,053 51,160 25,580 12,790 6,395 19,186 9,593 28,780 14,390 7,195 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646

More profiles

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