λ
Harmonic Matrix

1,567,829

1567829
Deficient Odd Prime

1,567,829 has digital root 2. The neighboring primes are 1567789 and 1567837; its proper-divisor sum differs from the starting integer by -1,567,828.

Prime Factor Structure

Factorization String 1567829
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,567,830
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1567789 ← → #1567837

Radix Representation

Decimal 1567829
Binary 101111110110001010101 (21 bits)
Octal 0o5766125
Hexadecimal 0x17EC55

Divisor Catalog (2)

Collatz Trajectory (119 steps to reach 1)

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

1,567,829 4,703,488 2,351,744 1,175,872 587,936 293,968 146,984 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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