λ
Harmonic Matrix

4,573,721

2099 × 2179
Deficient Odd Composite

4,573,721 has digital root 2. The neighboring primes are 4573717 and 4573727; its proper-divisor sum differs from the starting integer by -4,569,442.

Prime Factor Structure

Factorization String 2099 × 2179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,578,000
Proper Divisor Sum 4,279
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4573717 ← → #4573727

Radix Representation

Decimal 4573721
Binary 10001011100101000011001 (23 bits)
Octal 0o21345031
Hexadecimal 0x45CA19

Divisor Catalog (4)

1 2,099 2,179 4,573,721

Collatz Trajectory (224 steps to reach 1)

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

4,573,721 13,721,164 6,860,582 3,430,291 10,290,874 5,145,437 15,436,312 7,718,156 3,859,078 1,929,539 5,788,618 2,894,309 8,682,928 4,341,464 2,170,732 1,085,366 542,683 1,628,050 814,025 2,442,076 1,221,038 610,519 1,831,558 915,779 2,747,338 1,373,669 4,121,008 2,060,504 1,030,252 515,126 257,563 772,690 386,345 1,159,036 579,518 289,759 869,278 434,639 1,303,918 651,959 1,955,878 977,939 2,933,818 1,466,909 4,400,728 2,200,364 1,100,182 550,091 1,650,274 825,137 2,475,412 1,237,706 618,853 1,856,560 928,280 464,140 232,070 116,035 348,106 174,053

More profiles

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