λ
Sequence Observatory

174,137

174137
Deficient Odd Prime

Starting at 174,137, the Collatz iteration reaches 1 after 183 steps. The first transition is 522412; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 174137
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 174,138
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #174121 ← → #174143

Radix Representation

Decimal 174137
Binary 101010100000111001 (18 bits)
Octal 0o524071
Hexadecimal 0x2A839

Divisor Catalog (2)

1 174,137

Collatz Trajectory (183 steps to reach 1)

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

174,137 522,412 261,206 130,603 391,810 195,905 587,716 293,858 146,929 440,788 220,394 110,197 330,592 165,296 82,648 41,324 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634

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