λ
Harmonic Matrix

1,155,185

5 × 463 × 499
Deficient Odd Composite

1,155,185 has digital root 8. The neighboring primes are 1155179 and 1155211; its proper-divisor sum differs from the starting integer by -918,370.

Prime Factor Structure

Factorization String 5 × 463 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,392,000
Proper Divisor Sum 236,815
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1155179 ← → #1155211

Radix Representation

Decimal 1155185
Binary 100011010000001110001 (21 bits)
Octal 0o4320161
Hexadecimal 0x11A071

Divisor Catalog (8)

1 5 463 499 2,315 2,495 231,037 1,155,185

Collatz Trajectory (72 steps to reach 1)

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

1,155,185 3,465,556 1,732,778 866,389 2,599,168 1,299,584 649,792 324,896 162,448 81,224 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750 43,375 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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