λ
Sequence Observatory

434,527

31 × 107 × 131
Deficient Odd Composite

Starting at 434,527, the Collatz iteration reaches 1 after 143 steps. The first transition is 1303582; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 107 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 456,192
Proper Divisor Sum 21,665
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #434521 ← → #434561

Radix Representation

Decimal 434527
Binary 1101010000101011111 (19 bits)
Octal 0o1520537
Hexadecimal 0x6A15F

Divisor Catalog (8)

1 31 107 131 3,317 4,061 14,017 434,527

Collatz Trajectory (143 steps to reach 1)

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

434,527 1,303,582 651,791 1,955,374 977,687 2,933,062 1,466,531 4,399,594 2,199,797 6,599,392 3,299,696 1,649,848 824,924 412,462 206,231 618,694 309,347 928,042 464,021 1,392,064 696,032 348,016 174,008 87,004 43,502 21,751 65,254 32,627 97,882 48,941 146,824 73,412 36,706 18,353 55,060 27,530 13,765 41,296 20,648 10,324 5,162 2,581 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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