λ
Harmonic Matrix

1,761,386

2 × 11 × 23 × 592
Deficient Even Composite

1,761,386 has digital root 5. The neighboring primes are 1761379 and 1761407; its proper-divisor sum differs from the starting integer by -463,348.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 59^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,059,424
Proper Divisor Sum 1,298,038
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1761379 ← → #1761407

Radix Representation

Decimal 1761386
Binary 110101110000001101010 (21 bits)
Octal 0o6560152
Hexadecimal 0x1AE06A

Divisor Catalog (24)

1 2 11 22 23 46 59 118 253 506 649 1,298 1,357 2,714 3,481 6,962 14,927 29,854 38,291 76,582 80,063 160,126 880,693 1,761,386

Collatz Trajectory (158 steps to reach 1)

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

1,761,386 880,693 2,642,080 1,321,040 660,520 330,260 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322

More profiles

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