λ
Harmonic Matrix

2,300,469

3 × 41 × 59 × 317
Deficient Odd Composite

2,300,469 has digital root 6. The neighboring primes are 2300447 and 2300489; its proper-divisor sum differs from the starting integer by -1,395,498.

Prime Factor Structure

Factorization String 3 × 41 × 59 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,205,440
Proper Divisor Sum 904,971
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2300447 ← → #2300489

Radix Representation

Decimal 2300469
Binary 1000110001101000110101 (22 bits)
Octal 0o10615065
Hexadecimal 0x231A35

Divisor Catalog (16)

1 3 41 59 123 177 317 951 2,419 7,257 12,997 18,703 38,991 56,109 766,823 2,300,469

Collatz Trajectory (99 steps to reach 1)

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

2,300,469 6,901,408 3,450,704 1,725,352 862,676 431,338 215,669 647,008 323,504 161,752 80,876 40,438 20,219 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406

More profiles

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