192,458

2 × 7 × 59 × 233

Starting at 192,458, the Collatz iteration reaches 1 after 46 steps. The first transition is 96229; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 336,960

Proper Divisor Sum 144,502

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #192431 ← → #192461

Radix Representation

Decimal	192458
Binary	101110111111001010 (18 bits)
Octal	0o567712
Hexadecimal	0x2EFCA

Divisor Catalog (16)

1 2 7 14 59 118 233 413 466 826 1,631 3,262 13,747 27,494 96,229 192,458

Collatz Trajectory (46 steps to reach 1)

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

192,458 96,229 288,688 144,344 72,172 36,086 18,043 54,130 27,065 81,196 40,598 20,299 60,898 30,449 91,348 45,674 22,837 68,512 34,256 17,128 8,564 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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