λ
Sequence Observatory

714,893

714893
Deficient Odd Prime

Starting at 714,893, the Collatz iteration reaches 1 after 167 steps. The first transition is 2144680; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 714893
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 714,894
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #714887 ← → #714907

Radix Representation

Decimal 714893
Binary 10101110100010001101 (20 bits)
Octal 0o2564215
Hexadecimal 0xAE88D

Divisor Catalog (2)

1 714,893

Collatz Trajectory (167 steps to reach 1)

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

714,893 2,144,680 1,072,340 536,170 268,085 804,256 402,128 201,064 100,532 50,266 25,133 75,400 37,700 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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