λ
Harmonic Matrix

906,823

906823
Deficient Odd Prime

906,823 has digital root 1. The neighboring primes are 906817 and 906839; its proper-divisor sum differs from the starting integer by -906,822.

Prime Factor Structure

Factorization String 906823
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 906,824
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #906817 ← → #906839

Radix Representation

Decimal 906823
Binary 11011101011001000111 (20 bits)
Octal 0o3353107
Hexadecimal 0xDD647

Divisor Catalog (2)

Collatz Trajectory (294 steps to reach 1)

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

906,823 2,720,470 1,360,235 4,080,706 2,040,353 6,121,060 3,060,530 1,530,265 4,590,796 2,295,398 1,147,699 3,443,098 1,721,549 5,164,648 2,582,324 1,291,162 645,581 1,936,744 968,372 484,186 242,093 726,280 363,140 181,570 90,785 272,356 136,178 68,089 204,268 102,134 51,067 153,202 76,601 229,804 114,902 57,451 172,354 86,177 258,532 129,266 64,633 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511

More profiles

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