λ
Harmonic Matrix

815,946

2 × 3 × 239 × 569
Abundant Even Composite

815,946 has digital root 6. The neighboring primes are 815939 and 815953; its proper-divisor sum differs from the starting integer by 9,708.

Prime Factor Structure

Factorization String 2 × 3 × 239 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,641,600
Proper Divisor Sum 825,654
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #815939 ← → #815953

Radix Representation

Decimal 815946
Binary 11000111001101001010 (20 bits)
Octal 0o3071512
Hexadecimal 0xC734A

Divisor Catalog (16)

1 2 3 6 239 478 569 717 1,138 1,434 1,707 3,414 135,991 271,982 407,973 815,946

Collatz Trajectory (175 steps to reach 1)

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

815,946 407,973 1,223,920 611,960 305,980 152,990 76,495 229,486 114,743 344,230 172,115 516,346 258,173 774,520 387,260 193,630 96,815 290,446 145,223 435,670 217,835 653,506 326,753 980,260 490,130 245,065 735,196 367,598 183,799 551,398 275,699 827,098 413,549 1,240,648 620,324 310,162 155,081 465,244 232,622 116,311 348,934 174,467 523,402 261,701 785,104 392,552 196,276 98,138 49,069 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054

More profiles

← Previous Integer #815,945 Browse Full Index Next Integer #815,947 →