601,928

2³ × 67 × 1123

Starting at 601,928, the Collatz iteration reaches 1 after 89 steps. The first transition is 300964; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 67 × 1123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,146,480

Proper Divisor Sum 544,552

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #601903 ← → #601943

Radix Representation

Decimal	601928
Binary	10010010111101001000 (20 bits)
Octal	0o2227510
Hexadecimal	0x92F48

Divisor Catalog (16)

1 2 4 8 67 134 268 536 1,123 2,246 4,492 8,984 75,241 150,482 300,964 601,928

Collatz Trajectory (89 steps to reach 1)

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

601,928 300,964 150,482 75,241 225,724 112,862 56,431 169,294 84,647 253,942 126,971 380,914 190,457 571,372 285,686 142,843 428,530 214,265 642,796 321,398 160,699 482,098 241,049 723,148 361,574 180,787 542,362 271,181 813,544 406,772 203,386 101,693 305,080 152,540 76,270 38,135 114,406 57,203 171,610 85,805 257,416 128,708 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820

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