λ
Harmonic Matrix

1,600,877

1600877
Deficient Odd Prime

1,600,877 has digital root 2. The neighboring primes are 1600861 and 1600889; its proper-divisor sum differs from the starting integer by -1,600,876.

Prime Factor Structure

Factorization String 1600877
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,600,878
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1600861 ← → #1600889

Radix Representation

Decimal 1600877
Binary 110000110110101101101 (21 bits)
Octal 0o6066555
Hexadecimal 0x186D6D

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

1,600,877 4,802,632 2,401,316 1,200,658 600,329 1,800,988 900,494 450,247 1,350,742 675,371 2,026,114 1,013,057 3,039,172 1,519,586 759,793 2,279,380 1,139,690 569,845 1,709,536 854,768 427,384 213,692 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156

More profiles

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