λ
Harmonic Matrix

4,411,689

3 × 317 × 4639
Deficient Odd Composite

4,411,689 has digital root 6. The neighboring primes are 4411679 and 4411697; its proper-divisor sum differs from the starting integer by -2,921,298.

Prime Factor Structure

Factorization String 3 × 317 × 4639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,902,080
Proper Divisor Sum 1,490,391
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4411679 ← → #4411697

Radix Representation

Decimal 4411689
Binary 10000110101000100101001 (23 bits)
Octal 0o20650451
Hexadecimal 0x435129

Divisor Catalog (8)

1 3 317 951 4,639 13,917 1,470,563 4,411,689

Collatz Trajectory (180 steps to reach 1)

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

4,411,689 13,235,068 6,617,534 3,308,767 9,926,302 4,963,151 14,889,454 7,444,727 22,334,182 11,167,091 33,501,274 16,750,637 50,251,912 25,125,956 12,562,978 6,281,489 18,844,468 9,422,234 4,711,117 14,133,352 7,066,676 3,533,338 1,766,669 5,300,008 2,650,004 1,325,002 662,501 1,987,504 993,752 496,876 248,438 124,219 372,658 186,329 558,988 279,494 139,747 419,242 209,621 628,864 314,432 157,216 78,608 39,304 19,652 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778

More profiles

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