λ
Harmonic Matrix

1,401,701

7 × 17 × 11779
Deficient Odd Composite

1,401,701 has digital root 5. The neighboring primes are 1401683 and 1401703; its proper-divisor sum differs from the starting integer by -1,107,082.

Prime Factor Structure

Factorization String 7 × 17 × 11779
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,696,320
Proper Divisor Sum 294,619
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1401683 ← → #1401703

Radix Representation

Decimal 1401701
Binary 101010110001101100101 (21 bits)
Octal 0o5261545
Hexadecimal 0x156365

Divisor Catalog (8)

1 7 17 119 11,779 82,453 200,243 1,401,701

Collatz Trajectory (106 steps to reach 1)

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

1,401,701 4,205,104 2,102,552 1,051,276 525,638 262,819 788,458 394,229 1,182,688 591,344 295,672 147,836 73,918 36,959 110,878 55,439 166,318 83,159 249,478 124,739 374,218 187,109 561,328 280,664 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484

More profiles

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