192,261

3 × 19 × 3373

Starting at 192,261, the Collatz iteration reaches 1 after 72 steps. The first transition is 576784; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 3373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 269,920

Proper Divisor Sum 77,659

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #192259 ← → #192263

Radix Representation

Decimal	192261
Binary	101110111100000101 (18 bits)
Octal	0o567405
Hexadecimal	0x2EF05

Divisor Catalog (8)

1 3 19 57 3,373 10,119 64,087 192,261

Collatz Trajectory (72 steps to reach 1)

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

192,261 576,784 288,392 144,196 72,098 36,049 108,148 54,074 27,037 81,112 40,556 20,278 10,139 30,418 15,209 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34

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