λ
Sequence Observatory

634,853

634853
Deficient Odd Prime

Starting at 634,853, the Collatz iteration reaches 1 after 141 steps. The first transition is 1904560; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 634853
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 634,854
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #634841 ← → #634859

Radix Representation

Decimal 634853
Binary 10011010111111100101 (20 bits)
Octal 0o2327745
Hexadecimal 0x9AFE5

Divisor Catalog (2)

1 634,853

Collatz Trajectory (141 steps to reach 1)

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

634,853 1,904,560 952,280 476,140 238,070 119,035 357,106 178,553 535,660 267,830 133,915 401,746 200,873 602,620 301,310 150,655 451,966 225,983 677,950 338,975 1,016,926 508,463 1,525,390 762,695 2,288,086 1,144,043 3,432,130 1,716,065 5,148,196 2,574,098 1,287,049 3,861,148 1,930,574 965,287 2,895,862 1,447,931 4,343,794 2,171,897 6,515,692 3,257,846 1,628,923 4,886,770 2,443,385 7,330,156 3,665,078 1,832,539 5,497,618 2,748,809 8,246,428 4,123,214 2,061,607 6,184,822 3,092,411 9,277,234 4,638,617 13,915,852 6,957,926 3,478,963 10,436,890 5,218,445

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