λ
Harmonic Matrix

862,830

2 × 32 × 5 × 9587
Abundant Even Composite

862,830 has digital root 9. The neighboring primes are 862819 and 862861; its proper-divisor sum differs from the starting integer by 517,932.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 9587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,243,592
Proper Divisor Sum 1,380,762
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #862819 ← → #862861

Radix Representation

Decimal 862830
Binary 11010010101001101110 (20 bits)
Octal 0o3225156
Hexadecimal 0xD2A6E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 9,587 19,174 28,761 47,935 57,522 86,283 95,870 143,805 172,566 287,610 431,415 862,830

Collatz Trajectory (95 steps to reach 1)

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

862,830 431,415 1,294,246 647,123 1,941,370 970,685 2,912,056 1,456,028 728,014 364,007 1,092,022 546,011 1,638,034 819,017 2,457,052 1,228,526 614,263 1,842,790 921,395 2,764,186 1,382,093 4,146,280 2,073,140 1,036,570 518,285 1,554,856 777,428 388,714 194,357 583,072 291,536 145,768 72,884 36,442 18,221 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916

More profiles

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