λ
Harmonic Matrix

708,106

2 × 7 × 37 × 1367
Deficient Even Composite

708,106 has digital root 4. The neighboring primes are 708091 and 708109; its proper-divisor sum differs from the starting integer by -168,596.

Prime Factor Structure

Factorization String 2 × 7 × 37 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,247,616
Proper Divisor Sum 539,510
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #708091 ← → #708109

Radix Representation

Decimal 708106
Binary 10101100111000001010 (20 bits)
Octal 0o2547012
Hexadecimal 0xACE0A

Divisor Catalog (16)

1 2 7 14 37 74 259 518 1,367 2,734 9,569 19,138 50,579 101,158 354,053 708,106

Collatz Trajectory (198 steps to reach 1)

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

708,106 354,053 1,062,160 531,080 265,540 132,770 66,385 199,156 99,578 49,789 149,368 74,684 37,342 18,671 56,014 28,007 84,022 42,011 126,034 63,017 189,052 94,526 47,263 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260 2,299,630 1,149,815 3,449,446 1,724,723 5,174,170 2,587,085 7,761,256 3,880,628 1,940,314 970,157

More profiles

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