λ
Harmonic Matrix

3,591,702

2 × 34 × 22171
Abundant Even Composite

3,591,702 has digital root 9. The neighboring primes are 3591671 and 3591719; its proper-divisor sum differs from the starting integer by 865,032.

Prime Factor Structure

Factorization String 2 × 3^4 × 22171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,048,436
Proper Divisor Sum 4,456,734
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3591671 ← → #3591719

Radix Representation

Decimal 3591702
Binary 1101101100111000010110 (22 bits)
Octal 0o15547026
Hexadecimal 0x36CE16

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 22,171 44,342 66,513 133,026 199,539 399,078 598,617 1,197,234 1,795,851 3,591,702

Collatz Trajectory (141 steps to reach 1)

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

3,591,702 1,795,851 5,387,554 2,693,777 8,081,332 4,040,666 2,020,333 6,061,000 3,030,500 1,515,250 757,625 2,272,876 1,136,438 568,219 1,704,658 852,329 2,556,988 1,278,494 639,247 1,917,742 958,871 2,876,614 1,438,307 4,314,922 2,157,461 6,472,384 3,236,192 1,618,096 809,048 404,524 202,262 101,131 303,394 151,697 455,092 227,546 113,773 341,320 170,660 85,330 42,665 127,996 63,998 31,999 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124

More profiles

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