λ
Prime Ledger

167,393

167393
Deficient Odd Prime

167,393 has the prime decomposition 167393. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 167393
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 167,394
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #167381 ← → #167407

Radix Representation

Decimal 167393
Binary 101000110111100001 (18 bits)
Octal 0o506741
Hexadecimal 0x28DE1

Divisor Catalog (2)

1 167,393

Collatz Trajectory (183 steps to reach 1)

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

167,393 502,180 251,090 125,545 376,636 188,318 94,159 282,478 141,239 423,718 211,859 635,578 317,789 953,368 476,684 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374

More profiles

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