λ
Sequence Observatory

614,741

614741
Deficient Odd Prime

Starting at 614,741, the Collatz iteration reaches 1 after 172 steps. The first transition is 1844224; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 614741
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 614,742
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #614729 ← → #614743

Radix Representation

Decimal 614741
Binary 10010110000101010101 (20 bits)
Octal 0o2260525
Hexadecimal 0x96155

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

614,741 1,844,224 922,112 461,056 230,528 115,264 57,632 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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