167,351

37 × 4523

Starting at 167,351, the Collatz iteration reaches 1 after 183 steps. The first transition is 502054; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 4523

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 171,912

Proper Divisor Sum 4,561

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #167341 ← → #167381

Radix Representation

Decimal	167351
Binary	101000110110110111 (18 bits)
Octal	0o506667
Hexadecimal	0x28DB7

Divisor Catalog (4)

1 37 4,523 167,351

Collatz Trajectory (183 steps to reach 1)

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

167,351 502,054 251,027 753,082 376,541 1,129,624 564,812 282,406 141,203 423,610 211,805 635,416 317,708 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 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

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