λ
Zalai Atlas

84,482

2 × 53 × 797
Deficient Even Composite

84,482 has the prime decomposition 2 × 53 × 797. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 129,276
Proper Divisor Sum 44,794
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #84481 ← → #84499

Radix Representation

Decimal 84482
Binary 10100101000000010 (17 bits)
Octal 0o245002
Hexadecimal 0x14A02

Divisor Catalog (8)

1 2 53 106 797 1,594 42,241 84,482

Collatz Trajectory (107 steps to reach 1)

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

84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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