λ
Harmonic Matrix

3,089,585

5 × 617917
Deficient Odd Composite

3,089,585 has digital root 2. The neighboring primes are 3089561 and 3089587; its proper-divisor sum differs from the starting integer by -2,471,662.

Prime Factor Structure

Factorization String 5 × 617917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,707,508
Proper Divisor Sum 617,923
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3089561 ← → #3089587

Radix Representation

Decimal 3089585
Binary 1011110010010010110001 (22 bits)
Octal 0o13622261
Hexadecimal 0x2F24B1

Divisor Catalog (4)

1 5 617,917 3,089,585

Collatz Trajectory (213 steps to reach 1)

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

3,089,585 9,268,756 4,634,378 2,317,189 6,951,568 3,475,784 1,737,892 868,946 434,473 1,303,420 651,710 325,855 977,566 488,783 1,466,350 733,175 2,199,526 1,099,763 3,299,290 1,649,645 4,948,936 2,474,468 1,237,234 618,617 1,855,852 927,926 463,963 1,391,890 695,945 2,087,836 1,043,918 521,959 1,565,878 782,939 2,348,818 1,174,409 3,523,228 1,761,614 880,807 2,642,422 1,321,211 3,963,634 1,981,817 5,945,452 2,972,726 1,486,363 4,459,090 2,229,545 6,688,636 3,344,318 1,672,159 5,016,478 2,508,239 7,524,718 3,762,359 11,287,078 5,643,539 16,930,618 8,465,309 25,395,928

More profiles

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