λ
Harmonic Matrix

1,798,793

41 × 73 × 601
Deficient Odd Composite

1,798,793 has digital root 8. The neighboring primes are 1798781 and 1798801; its proper-divisor sum differs from the starting integer by -1,726,570.

Prime Factor Structure

Factorization String 41 × 73 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,871,016
Proper Divisor Sum 72,223
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #1798781 ← → #1798801

Radix Representation

Decimal 1798793
Binary 110110111001010001001 (21 bits)
Octal 0o6671211
Hexadecimal 0x1B7289

Divisor Catalog (8)

1 41 73 601 2,993 24,641 43,873 1,798,793

Collatz Trajectory (88 steps to reach 1)

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

1,798,793 5,396,380 2,698,190 1,349,095 4,047,286 2,023,643 6,070,930 3,035,465 9,106,396 4,553,198 2,276,599 6,829,798 3,414,899 10,244,698 5,122,349 15,367,048 7,683,524 3,841,762 1,920,881 5,762,644 2,881,322 1,440,661 4,321,984 2,160,992 1,080,496 540,248 270,124 135,062 67,531 202,594 101,297 303,892 151,946 75,973 227,920 113,960 56,980 28,490 14,245 42,736 21,368 10,684 5,342 2,671 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414

More profiles

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