λ
Harmonic Matrix

8,993,710

2 × 5 × 11 × 81761
Deficient Even Composite

8,993,710 has digital root 1. The neighboring primes are 8993693 and 8993723; its proper-divisor sum differs from the starting integer by -326,828.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 81761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,660,592
Proper Divisor Sum 8,666,882
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8993693 ← → #8993723

Radix Representation

Decimal 8993710
Binary 100010010011101110101110 (24 bits)
Octal 0o42235656
Hexadecimal 0x893BAE

Divisor Catalog (16)

1 2 5 10 11 22 55 110 81,761 163,522 408,805 817,610 899,371 1,798,742 4,496,855 8,993,710

Collatz Trajectory (111 steps to reach 1)

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

8,993,710 4,496,855 13,490,566 6,745,283 20,235,850 10,117,925 30,353,776 15,176,888 7,588,444 3,794,222 1,897,111 5,691,334 2,845,667 8,537,002 4,268,501 12,805,504 6,402,752 3,201,376 1,600,688 800,344 400,172 200,086 100,043 300,130 150,065 450,196 225,098 112,549 337,648 168,824 84,412 42,206 21,103 63,310 31,655 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508

More profiles

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