402,811

229 × 1759

Starting at 402,811, the Collatz iteration reaches 1 after 68 steps. The first transition is 1208434; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 229 × 1759

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 404,800

Proper Divisor Sum 1,989

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #402803 ← → #402817

Radix Representation

Decimal	402811
Binary	1100010010101111011 (19 bits)
Octal	0o1422573
Hexadecimal	0x6257B

Divisor Catalog (4)

1 229 1,759 402,811

Collatz Trajectory (68 steps to reach 1)

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

402,811 1,208,434 604,217 1,812,652 906,326 453,163 1,359,490 679,745 2,039,236 1,019,618 509,809 1,529,428 764,714 382,357 1,147,072 573,536 286,768 143,384 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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