λ
Harmonic Matrix

864,850

2 × 52 × 72 × 353
Abundant Even Composite

864,850 has digital root 4. The neighboring primes are 864817 and 864883; its proper-divisor sum differs from the starting integer by 146,854.

Prime Factor Structure

Factorization String 2 × 5^2 × 7^2 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,876,554
Proper Divisor Sum 1,011,704
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #864817 ← → #864883

Radix Representation

Decimal 864850
Binary 11010011001001010010 (20 bits)
Octal 0o3231122
Hexadecimal 0xD3252

Divisor Catalog (36)

1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 353 490 706 1,225 1,765 2,450 2,471 3,530 4,942 8,825 12,355 17,297 17,650 24,710 34,594 61,775 86,485 123,550 172,970 432,425 864,850

Collatz Trajectory (95 steps to reach 1)

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

864,850 432,425 1,297,276 648,638 324,319 972,958 486,479 1,459,438 729,719 2,189,158 1,094,579 3,283,738 1,641,869 4,925,608 2,462,804 1,231,402 615,701 1,847,104 923,552 461,776 230,888 115,444 57,722 28,861 86,584 43,292 21,646 10,823 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917

More profiles

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