λ
Harmonic Matrix

206,827

206827
Deficient Odd Prime

206,827 has digital root 7. The neighboring primes are 206821 and 206879; its proper-divisor sum differs from the starting integer by -206,826.

Prime Factor Structure

Factorization String 206827
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 206,828
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #206821 ← → #206879

Radix Representation

Decimal 206827
Binary 110010011111101011 (18 bits)
Octal 0o623753
Hexadecimal 0x327EB

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

206,827 620,482 310,241 930,724 465,362 232,681 698,044 349,022 174,511 523,534 261,767 785,302 392,651 1,177,954 588,977 1,766,932 883,466 441,733 1,325,200 662,600 331,300 165,650 82,825 248,476 124,238 62,119 186,358 93,179 279,538 139,769 419,308 209,654 104,827 314,482 157,241 471,724 235,862 117,931 353,794 176,897 530,692 265,346 132,673 398,020 199,010 99,505 298,516 149,258 74,629 223,888 111,944 55,972 27,986 13,993 41,980 20,990 10,495 31,486 15,743 47,230

More profiles

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