λ
Harmonic Matrix

4,421,393

79 × 55967
Deficient Odd Composite

4,421,393 has digital root 8. The neighboring primes are 4421371 and 4421407; its proper-divisor sum differs from the starting integer by -4,365,346.

Prime Factor Structure

Factorization String 79 × 55967
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,477,440
Proper Divisor Sum 56,047
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4421371 ← → #4421407

Radix Representation

Decimal 4421393
Binary 10000110111011100010001 (23 bits)
Octal 0o20673421
Hexadecimal 0x437711

Divisor Catalog (4)

1 79 55,967 4,421,393

Collatz Trajectory (74 steps to reach 1)

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

4,421,393 13,264,180 6,632,090 3,316,045 9,948,136 4,974,068 2,487,034 1,243,517 3,730,552 1,865,276 932,638 466,319 1,398,958 699,479 2,098,438 1,049,219 3,147,658 1,573,829 4,721,488 2,360,744 1,180,372 590,186 295,093 885,280 442,640 221,320 110,660 55,330 27,665 82,996 41,498 20,749 62,248 31,124 15,562 7,781 23,344 11,672 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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