174,963

3 × 58321

Starting at 174,963, the Collatz iteration reaches 1 after 165 steps. The first transition is 524890; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 58321

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 233,288

Proper Divisor Sum 58,325

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #174959 ← → #174989

Radix Representation

Decimal	174963
Binary	101010101101110011 (18 bits)
Octal	0o525563
Hexadecimal	0x2AB73

Divisor Catalog (4)

1 3 58,321 174,963

Collatz Trajectory (165 steps to reach 1)

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

174,963 524,890 262,445 787,336 393,668 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360 27,680 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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