λ
Harmonic Matrix

4,441,412

22 × 1110353
Deficient Even Composite

4,441,412 has digital root 2. The neighboring primes are 4441399 and 4441417; its proper-divisor sum differs from the starting integer by -1,110,346.

Prime Factor Structure

Factorization String 2^2 × 1110353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,772,478
Proper Divisor Sum 3,331,066
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4441399 ← → #4441417

Radix Representation

Decimal 4441412
Binary 10000111100010101000100 (23 bits)
Octal 0o20742504
Hexadecimal 0x43C544

Divisor Catalog (6)

1 2 4 1,110,353 2,220,706 4,441,412

Collatz Trajectory (180 steps to reach 1)

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

4,441,412 2,220,706 1,110,353 3,331,060 1,665,530 832,765 2,498,296 1,249,148 624,574 312,287 936,862 468,431 1,405,294 702,647 2,107,942 1,053,971 3,161,914 1,580,957 4,742,872 2,371,436 1,185,718 592,859 1,778,578 889,289 2,667,868 1,333,934 666,967 2,000,902 1,000,451 3,001,354 1,500,677 4,502,032 2,251,016 1,125,508 562,754 281,377 844,132 422,066 211,033 633,100 316,550 158,275 474,826 237,413 712,240 356,120 178,060 89,030 44,515 133,546 66,773 200,320 100,160 50,080 25,040 12,520 6,260 3,130 1,565 4,696

More profiles

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