λ
Harmonic Matrix

879,398

2 × 13 × 149 × 227
Deficient Even Composite

879,398 has digital root 8. The neighboring primes are 879391 and 879401; its proper-divisor sum differs from the starting integer by -322,396.

Prime Factor Structure

Factorization String 2 × 13 × 149 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,436,400
Proper Divisor Sum 557,002
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #879391 ← → #879401

Radix Representation

Decimal 879398
Binary 11010110101100100110 (20 bits)
Octal 0o3265446
Hexadecimal 0xD6B26

Divisor Catalog (16)

1 2 13 26 149 227 298 454 1,937 2,951 3,874 5,902 33,823 67,646 439,699 879,398

Collatz Trajectory (201 steps to reach 1)

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

879,398 439,699 1,319,098 659,549 1,978,648 989,324 494,662 247,331 741,994 370,997 1,112,992 556,496 278,248 139,124 69,562 34,781 104,344 52,172 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479

More profiles

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