175,737

3 × 58579

Starting at 175,737, the Collatz iteration reaches 1 after 103 steps. The first transition is 527212; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 58579

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 234,320

Proper Divisor Sum 58,583

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #175727 ← → #175753

Radix Representation

Decimal	175737
Binary	101010111001111001 (18 bits)
Octal	0o527171
Hexadecimal	0x2AE79

Divisor Catalog (4)

1 3 58,579 175,737

Collatz Trajectory (103 steps to reach 1)

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

175,737 527,212 263,606 131,803 395,410 197,705 593,116 296,558 148,279 444,838 222,419 667,258 333,629 1,000,888 500,444 250,222 125,111 375,334 187,667 563,002 281,501 844,504 422,252 211,126 105,563 316,690 158,345 475,036 237,518 118,759 356,278 178,139 534,418 267,209 801,628 400,814 200,407 601,222 300,611 901,834 450,917 1,352,752 676,376 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376 6,688

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