λ
Harmonic Matrix

1,434,311

29 × 49459
Deficient Odd Composite

1,434,311 has digital root 8. The neighboring primes are 1434289 and 1434337; its proper-divisor sum differs from the starting integer by -1,384,822.

Prime Factor Structure

Factorization String 29 × 49459
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,483,800
Proper Divisor Sum 49,489
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1434289 ← → #1434337

Radix Representation

Decimal 1434311
Binary 101011110001011000111 (21 bits)
Octal 0o5361307
Hexadecimal 0x15E2C7

Divisor Catalog (4)

1 29 49,459 1,434,311

Collatz Trajectory (75 steps to reach 1)

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

1,434,311 4,302,934 2,151,467 6,454,402 3,227,201 9,681,604 4,840,802 2,420,401 7,261,204 3,630,602 1,815,301 5,445,904 2,722,952 1,361,476 680,738 340,369 1,021,108 510,554 255,277 765,832 382,916 191,458 95,729 287,188 143,594 71,797 215,392 107,696 53,848 26,924 13,462 6,731 20,194 10,097 30,292 15,146 7,573 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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