498,231

3⁴ × 6151

498,231 has digital root 9. The neighboring primes are 498227 and 498257; its proper-divisor sum differs from the starting integer by -252,070.

Prime Factor Structure

Factorization String 3^4 × 6151

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 744,392

Proper Divisor Sum 246,161

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #498227 ← → #498257

Radix Representation

Decimal	498231
Binary	1111001101000110111 (19 bits)
Octal	0o1715067
Hexadecimal	0x79A37

Divisor Catalog (10)

1 3 9 27 81 6,151 18,453 55,359 166,077 498,231

Collatz Trajectory (138 steps to reach 1)

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

498,231 1,494,694 747,347 2,242,042 1,121,021 3,363,064 1,681,532 840,766 420,383 1,261,150 630,575 1,891,726 945,863 2,837,590 1,418,795 4,256,386 2,128,193 6,384,580 3,192,290 1,596,145 4,788,436 2,394,218 1,197,109 3,591,328 1,795,664 897,832 448,916 224,458 112,229 336,688 168,344 84,172 42,086 21,043 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527

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