λ
Sequence Observatory

382,703

382703
Deficient Odd Prime

Starting at 382,703, the Collatz iteration reaches 1 after 117 steps. The first transition is 1148110; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 382703
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 382,704
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #382693 ← → #382709

Radix Representation

Decimal 382703
Binary 1011101011011101111 (19 bits)
Octal 0o1353357
Hexadecimal 0x5D6EF

Divisor Catalog (2)

Collatz Trajectory (117 steps to reach 1)

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

382,703 1,148,110 574,055 1,722,166 861,083 2,583,250 1,291,625 3,874,876 1,937,438 968,719 2,906,158 1,453,079 4,359,238 2,179,619 6,538,858 3,269,429 9,808,288 4,904,144 2,452,072 1,226,036 613,018 306,509 919,528 459,764 229,882 114,941 344,824 172,412 86,206 43,103 129,310 64,655 193,966 96,983 290,950 145,475 436,426 218,213 654,640 327,320 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389

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