λ
Harmonic Matrix

1,708,006

2 × 349 × 2447
Deficient Even Composite

1,708,006 has digital root 4. The neighboring primes are 1707983 and 1708009; its proper-divisor sum differs from the starting integer by -845,612.

Prime Factor Structure

Factorization String 2 × 349 × 2447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,570,400
Proper Divisor Sum 862,394
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1707983 ← → #1708009

Radix Representation

Decimal 1708006
Binary 110100000111111100110 (21 bits)
Octal 0o6407746
Hexadecimal 0x1A0FE6

Divisor Catalog (8)

1 2 349 698 2,447 4,894 854,003 1,708,006

Collatz Trajectory (132 steps to reach 1)

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

1,708,006 854,003 2,562,010 1,281,005 3,843,016 1,921,508 960,754 480,377 1,441,132 720,566 360,283 1,080,850 540,425 1,621,276 810,638 405,319 1,215,958 607,979 1,823,938 911,969 2,735,908 1,367,954 683,977 2,051,932 1,025,966 512,983 1,538,950 769,475 2,308,426 1,154,213 3,462,640 1,731,320 865,660 432,830 216,415 649,246 324,623 973,870 486,935 1,460,806 730,403 2,191,210 1,095,605 3,286,816 1,643,408 821,704 410,852 205,426 102,713 308,140 154,070 77,035 231,106 115,553 346,660 173,330 86,665 259,996 129,998 64,999

More profiles

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