λ
Harmonic Matrix

1,434,309

3 × 113 × 4231
Deficient Odd Composite

1,434,309 has digital root 6. The neighboring primes are 1434289 and 1434337; its proper-divisor sum differs from the starting integer by -938,826.

Prime Factor Structure

Factorization String 3 × 113 × 4231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,929,792
Proper Divisor Sum 495,483
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1434289 ← → #1434337

Radix Representation

Decimal 1434309
Binary 101011110001011000101 (21 bits)
Octal 0o5361305
Hexadecimal 0x15E2C5

Divisor Catalog (8)

1 3 113 339 4,231 12,693 478,103 1,434,309

Collatz Trajectory (75 steps to reach 1)

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

1,434,309 4,302,928 2,151,464 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44

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