λ
Harmonic Matrix

4,442,783

599 × 7417
Deficient Odd Composite

4,442,783 has digital root 5. The neighboring primes are 4442777 and 4442807; its proper-divisor sum differs from the starting integer by -4,434,766.

Prime Factor Structure

Factorization String 599 × 7417
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,450,800
Proper Divisor Sum 8,017
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4442777 ← → #4442807

Radix Representation

Decimal 4442783
Binary 10000111100101010011111 (23 bits)
Octal 0o20745237
Hexadecimal 0x43CA9F

Divisor Catalog (4)

1 599 7,417 4,442,783

Collatz Trajectory (167 steps to reach 1)

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

4,442,783 13,328,350 6,664,175 19,992,526 9,996,263 29,988,790 14,994,395 44,983,186 22,491,593 67,474,780 33,737,390 16,868,695 50,606,086 25,303,043 75,909,130 37,954,565 113,863,696 56,931,848 28,465,924 14,232,962 7,116,481 21,349,444 10,674,722 5,337,361 16,012,084 8,006,042 4,003,021 12,009,064 6,004,532 3,002,266 1,501,133 4,503,400 2,251,700 1,125,850 562,925 1,688,776 844,388 422,194 211,097 633,292 316,646 158,323 474,970 237,485 712,456 356,228 178,114 89,057 267,172 133,586 66,793 200,380 100,190 50,095 150,286 75,143 225,430 112,715 338,146 169,073

More profiles

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