λ
Sequence Observatory

300,023

300023
Deficient Odd Prime

Starting at 300,023, the Collatz iteration reaches 1 after 52 steps. The first transition is 900070; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 300023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 300,024
Proper Divisor Sum 1
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #300017 ← → #300043

Radix Representation

Decimal 300023
Binary 1001001001111110111 (19 bits)
Octal 0o1111767
Hexadecimal 0x493F7

Divisor Catalog (2)

Collatz Trajectory (52 steps to reach 1)

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

300,023 900,070 450,035 1,350,106 675,053 2,025,160 1,012,580 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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