174,419

7 × 24917

Starting at 174,419, the Collatz iteration reaches 1 after 103 steps. The first transition is 523258; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 24917

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 199,344

Proper Divisor Sum 24,925

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #174413 ← → #174431

Radix Representation

Decimal	174419
Binary	101010100101010011 (18 bits)
Octal	0o524523
Hexadecimal	0x2A953

Divisor Catalog (4)

1 7 24,917 174,419

Collatz Trajectory (103 steps to reach 1)

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

174,419 523,258 261,629 784,888 392,444 196,222 98,111 294,334 147,167 441,502 220,751 662,254 331,127 993,382 496,691 1,490,074 745,037 2,235,112 1,117,556 558,778 279,389 838,168 419,084 209,542 104,771 314,314 157,157 471,472 235,736 117,868 58,934 29,467 88,402 44,201 132,604 66,302 33,151 99,454 49,727 149,182 74,591 223,774 111,887 335,662 167,831 503,494 251,747 755,242 377,621 1,132,864 566,432 283,216 141,608 70,804 35,402 17,701 53,104 26,552 13,276 6,638

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