λ
Harmonic Matrix

481,974

2 × 3 × 80329
Abundant Even Composite

481,974 has digital root 6. The neighboring primes are 481963 and 481997; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 80329
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 963,960
Proper Divisor Sum 481,986
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #481963 ← → #481997

Radix Representation

Decimal 481974
Binary 1110101101010110110 (19 bits)
Octal 0o1655266
Hexadecimal 0x75AB6

Divisor Catalog (8)

1 2 3 6 80,329 160,658 240,987 481,974

Collatz Trajectory (120 steps to reach 1)

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

481,974 240,987 722,962 361,481 1,084,444 542,222 271,111 813,334 406,667 1,220,002 610,001 1,830,004 915,002 457,501 1,372,504 686,252 343,126 171,563 514,690 257,345 772,036 386,018 193,009 579,028 289,514 144,757 434,272 217,136 108,568 54,284 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059

More profiles

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