λ
Harmonic Matrix

1,434,726

2 × 33 × 1632
Abundant Even Composite

1,434,726 has digital root 9. The neighboring primes are 1434707 and 1434731; its proper-divisor sum differs from the starting integer by 338,508.

Prime Factor Structure

Factorization String 2 × 3^3 × 163^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,207,960
Proper Divisor Sum 1,773,234
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1434707 ← → #1434731

Radix Representation

Decimal 1434726
Binary 101011110010001100110 (21 bits)
Octal 0o5362146
Hexadecimal 0x15E466

Divisor Catalog (24)

1 2 3 6 9 18 27 54 163 326 489 978 1,467 2,934 4,401 8,802 26,569 53,138 79,707 159,414 239,121 478,242 717,363 1,434,726

Collatz Trajectory (80 steps to reach 1)

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

1,434,726 717,363 2,152,090 1,076,045 3,228,136 1,614,068 807,034 403,517 1,210,552 605,276 302,638 151,319 453,958 226,979 680,938 340,469 1,021,408 510,704 255,352 127,676 63,838 31,919 95,758 47,879 143,638 71,819 215,458 107,729 323,188 161,594 80,797 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131 153,394 76,697 230,092 115,046 57,523 172,570 86,285 258,856 129,428 64,714 32,357 97,072 48,536 24,268 12,134 6,067 18,202 9,101

More profiles

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