478,869

3 × 159623

Starting at 478,869, the Collatz iteration reaches 1 after 107 steps. The first transition is 1436608; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 159623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 638,496

Proper Divisor Sum 159,627

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #478861 ← → #478871

Radix Representation

Decimal	478869
Binary	1110100111010010101 (19 bits)
Octal	0o1647225
Hexadecimal	0x74E95

Divisor Catalog (4)

1 3 159,623 478,869

Collatz Trajectory (107 steps to reach 1)

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

478,869 1,436,608 718,304 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464 85,232 42,616 21,308 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508

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