λ
Harmonic Matrix

8,296,849

112 × 191 × 359
Deficient Odd Composite

8,296,849 has digital root 1. The neighboring primes are 8296831 and 8296853; its proper-divisor sum differs from the starting integer by -7,400,738.

Prime Factor Structure

Factorization String 11^2 × 191 × 359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,192,960
Proper Divisor Sum 896,111
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8296831 ← → #8296853

Radix Representation

Decimal 8296849
Binary 11111101001100110010001 (23 bits)
Octal 0o37514621
Hexadecimal 0x7E9991

Divisor Catalog (12)

1 11 121 191 359 2,101 3,949 23,111 43,439 68,569 754,259 8,296,849

Collatz Trajectory (168 steps to reach 1)

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

8,296,849 24,890,548 12,445,274 6,222,637 18,667,912 9,333,956 4,666,978 2,333,489 7,000,468 3,500,234 1,750,117 5,250,352 2,625,176 1,312,588 656,294 328,147 984,442 492,221 1,476,664 738,332 369,166 184,583 553,750 276,875 830,626 415,313 1,245,940 622,970 311,485 934,456 467,228 233,614 116,807 350,422 175,211 525,634 262,817 788,452 394,226 197,113 591,340 295,670 147,835 443,506 221,753 665,260 332,630 166,315 498,946 249,473 748,420 374,210 187,105 561,316 280,658 140,329 420,988 210,494 105,247 315,742

More profiles

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