λ
Harmonic Matrix

8,654,924

22 × 61 × 79 × 449
Deficient Even Composite

8,654,924 has digital root 2. The neighboring primes are 8654917 and 8654941; its proper-divisor sum differs from the starting integer by -1,685,848.

Prime Factor Structure

Factorization String 2^2 × 61 × 79 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,624,000
Proper Divisor Sum 6,969,076
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8654917 ← → #8654941

Radix Representation

Decimal 8654924
Binary 100001000001000001001100 (24 bits)
Octal 0o41010114
Hexadecimal 0x84104C

Divisor Catalog (24)

1 2 4 61 79 122 158 244 316 449 898 1,796 4,819 9,638 19,276 27,389 35,471 54,778 70,942 109,556 141,884 2,163,731 4,327,462 8,654,924

Collatz Trajectory (93 steps to reach 1)

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

8,654,924 4,327,462 2,163,731 6,491,194 3,245,597 9,736,792 4,868,396 2,434,198 1,217,099 3,651,298 1,825,649 5,476,948 2,738,474 1,369,237 4,107,712 2,053,856 1,026,928 513,464 256,732 128,366 64,183 192,550 96,275 288,826 144,413 433,240 216,620 108,310 54,155 162,466 81,233 243,700 121,850 60,925 182,776 91,388 45,694 22,847 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386

More profiles

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