λ
Harmonic Matrix

8,855,872

26 × 138373
Deficient Even Composite

8,855,872 has digital root 7. The neighboring primes are 8855867 and 8855887; its proper-divisor sum differs from the starting integer by -138,246.

Prime Factor Structure

Factorization String 2^6 × 138373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 17,573,498
Proper Divisor Sum 8,717,626
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8855867 ← → #8855887

Radix Representation

Decimal 8855872
Binary 100001110010000101000000 (24 bits)
Octal 0o41620500
Hexadecimal 0x872140

Divisor Catalog (14)

1 2 4 8 16 32 64 138,373 276,746 553,492 1,106,984 2,213,968 4,427,936 8,855,872

Collatz Trajectory (181 steps to reach 1)

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

8,855,872 4,427,936 2,213,968 1,106,984 553,492 276,746 138,373 415,120 207,560 103,780 51,890 25,945 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565

More profiles

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