λ
Harmonic Matrix

784,494

2 × 32 × 41 × 1063
Abundant Even Composite

784,494 has digital root 9. The neighboring primes are 784489 and 784501; its proper-divisor sum differs from the starting integer by 173,844.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,742,832
Proper Divisor Sum 958,338
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #784489 ← → #784501

Radix Representation

Decimal 784494
Binary 10111111100001101110 (20 bits)
Octal 0o2774156
Hexadecimal 0xBF86E

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 1,063 2,126 3,189 6,378 9,567 19,134 43,583 87,166 130,749 261,498 392,247 784,494

Collatz Trajectory (206 steps to reach 1)

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

784,494 392,247 1,176,742 588,371 1,765,114 882,557 2,647,672 1,323,836 661,918 330,959 992,878 496,439 1,489,318 744,659 2,233,978 1,116,989 3,350,968 1,675,484 837,742 418,871 1,256,614 628,307 1,884,922 942,461 2,827,384 1,413,692 706,846 353,423 1,060,270 530,135 1,590,406 795,203 2,385,610 1,192,805 3,578,416 1,789,208 894,604 447,302 223,651 670,954 335,477 1,006,432 503,216 251,608 125,804 62,902 31,451 94,354 47,177 141,532 70,766 35,383 106,150 53,075 159,226 79,613 238,840 119,420 59,710 29,855

More profiles

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