λ
Harmonic Matrix

8,908,621

8908621
Deficient Odd Prime

8,908,621 has digital root 7. The neighboring primes are 8908619 and 8908637; its proper-divisor sum differs from the starting integer by -8,908,620.

Prime Factor Structure

Factorization String 8908621
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,908,622
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8908619 ← → #8908637

Radix Representation

Decimal 8908621
Binary 100001111110111101001101 (24 bits)
Octal 0o41767515
Hexadecimal 0x87EF4D

Divisor Catalog (2)

1 8,908,621

Collatz Trajectory (163 steps to reach 1)

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

8,908,621 26,725,864 13,362,932 6,681,466 3,340,733 10,022,200 5,011,100 2,505,550 1,252,775 3,758,326 1,879,163 5,637,490 2,818,745 8,456,236 4,228,118 2,114,059 6,342,178 3,171,089 9,513,268 4,756,634 2,378,317 7,134,952 3,567,476 1,783,738 891,869 2,675,608 1,337,804 668,902 334,451 1,003,354 501,677 1,505,032 752,516 376,258 188,129 564,388 282,194 141,097 423,292 211,646 105,823 317,470 158,735 476,206 238,103 714,310 357,155 1,071,466 535,733 1,607,200 803,600 401,800 200,900 100,450 50,225 150,676 75,338 37,669 113,008 56,504

More profiles

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