λ
Harmonic Matrix

8,696,744

23 × 7 × 155299
Abundant Even Composite

8,696,744 has digital root 8. The neighboring primes are 8696713 and 8696749; its proper-divisor sum differs from the starting integer by 1,242,512.

Prime Factor Structure

Factorization String 2^3 × 7 × 155299
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,636,000
Proper Divisor Sum 9,939,256
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8696713 ← → #8696749

Radix Representation

Decimal 8696744
Binary 100001001011001110101000 (24 bits)
Octal 0o41131650
Hexadecimal 0x84B3A8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 155,299 310,598 621,196 1,087,093 1,242,392 2,174,186 4,348,372 8,696,744

Collatz Trajectory (212 steps to reach 1)

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

8,696,744 4,348,372 2,174,186 1,087,093 3,261,280 1,630,640 815,320 407,660 203,830 101,915 305,746 152,873 458,620 229,310 114,655 343,966 171,983 515,950 257,975 773,926 386,963 1,160,890 580,445 1,741,336 870,668 435,334 217,667 653,002 326,501 979,504 489,752 244,876 122,438 61,219 183,658 91,829 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197

More profiles

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