λ
Harmonic Matrix

489,691

489691
Deficient Odd Prime

489,691 has digital root 1. The neighboring primes are 489689 and 489733; its proper-divisor sum differs from the starting integer by -489,690.

Prime Factor Structure

Factorization String 489691
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 489,692
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #489689 ← → #489733

Radix Representation

Decimal 489691
Binary 1110111100011011011 (19 bits)
Octal 0o1674333
Hexadecimal 0x778DB

Divisor Catalog (2)

Collatz Trajectory (89 steps to reach 1)

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

489,691 1,469,074 734,537 2,203,612 1,101,806 550,903 1,652,710 826,355 2,479,066 1,239,533 3,718,600 1,859,300 929,650 464,825 1,394,476 697,238 348,619 1,045,858 522,929 1,568,788 784,394 392,197 1,176,592 588,296 294,148 147,074 73,537 220,612 110,306 55,153 165,460 82,730 41,365 124,096 62,048 31,024 15,512 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520

More profiles

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