λ
Harmonic Matrix

4,338,317

67 × 73 × 887
Deficient Odd Composite

4,338,317 has digital root 2. The neighboring primes are 4338293 and 4338319; its proper-divisor sum differs from the starting integer by -4,208,218.

Prime Factor Structure

Factorization String 67 × 73 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,468,416
Proper Divisor Sum 130,099
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4338293 ← → #4338319

Radix Representation

Decimal 4338317
Binary 10000100011001010001101 (23 bits)
Octal 0o20431215
Hexadecimal 0x42328D

Divisor Catalog (8)

1 67 73 887 4,891 59,429 64,751 4,338,317

Collatz Trajectory (118 steps to reach 1)

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

4,338,317 13,014,952 6,507,476 3,253,738 1,626,869 4,880,608 2,440,304 1,220,152 610,076 305,038 152,519 457,558 228,779 686,338 343,169 1,029,508 514,754 257,377 772,132 386,066 193,033 579,100 289,550 144,775 434,326 217,163 651,490 325,745 977,236 488,618 244,309 732,928 366,464 183,232 91,616 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589

More profiles

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