λ
Harmonic Matrix

8,850,008

23 × 71 × 15581
Deficient Even Composite

8,850,008 has digital root 2. The neighboring primes are 8850007 and 8850011; its proper-divisor sum differs from the starting integer by -871,456.

Prime Factor Structure

Factorization String 2^3 × 71 × 15581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,828,560
Proper Divisor Sum 7,978,552
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8850007 ← → #8850011

Radix Representation

Decimal 8850008
Binary 100001110000101001011000 (24 bits)
Octal 0o41605130
Hexadecimal 0x870A58

Divisor Catalog (16)

1 2 4 8 71 142 284 568 15,581 31,162 62,324 124,648 1,106,251 2,212,502 4,425,004 8,850,008

Collatz Trajectory (168 steps to reach 1)

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

8,850,008 4,425,004 2,212,502 1,106,251 3,318,754 1,659,377 4,978,132 2,489,066 1,244,533 3,733,600 1,866,800 933,400 466,700 233,350 116,675 350,026 175,013 525,040 262,520 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506 110,753 332,260 166,130 83,065 249,196 124,598 62,299 186,898 93,449 280,348 140,174 70,087 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820 177,410 88,705 266,116 133,058 66,529 199,588 99,794 49,897 149,692 74,846 37,423 112,270 56,135

More profiles

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