λ
Harmonic Matrix

1,466,898

2 × 3 × 41 × 67 × 89
Abundant Even Composite

1,466,898 has digital root 6. The neighboring primes are 1466897 and 1466911; its proper-divisor sum differs from the starting integer by 150,684.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 67 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,084,480
Proper Divisor Sum 1,617,582
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1466897 ← → #1466911

Radix Representation

Decimal 1466898
Binary 101100110001000010010 (21 bits)
Octal 0o5461022
Hexadecimal 0x166212

Divisor Catalog (32)

1 2 3 6 41 67 82 89 123 134 178 201 246 267 402 534 2,747 3,649 5,494 5,963 7,298 8,241 10,947 11,926 16,482 17,889 21,894 35,778 244,483 488,966 733,449 1,466,898

Collatz Trajectory (88 steps to reach 1)

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

1,466,898 733,449 2,200,348 1,100,174 550,087 1,650,262 825,131 2,475,394 1,237,697 3,713,092 1,856,546 928,273 2,784,820 1,392,410 696,205 2,088,616 1,044,308 522,154 261,077 783,232 391,616 195,808 97,904 48,952 24,476 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260

More profiles

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