5,701,429

29 × 47² × 89

Starting at 5,701,429, the Collatz iteration reaches 1 after 245 steps. The first transition is 17104288; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 29 × 47^2 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,093,900

Proper Divisor Sum 392,471

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5701417 ← → #5701433

Radix Representation

Decimal	5701429
Binary	10101101111111100110101 (23 bits)
Octal	0o25577465
Hexadecimal	0x56FF35

Divisor Catalog (12)

1 29 47 89 1,363 2,209 2,581 4,183 64,061 121,307 196,601 5,701,429

Collatz Trajectory (245 steps to reach 1)

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

5,701,429 17,104,288 8,552,144 4,276,072 2,138,036 1,069,018 534,509 1,603,528 801,764 400,882 200,441 601,324 300,662 150,331 450,994 225,497 676,492 338,246 169,123 507,370 253,685 761,056 380,528 190,264 95,132 47,566 23,783 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166

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