λ
Sequence Observatory

713,869

13 × 89 × 617
Deficient Odd Composite

Starting at 713,869, the Collatz iteration reaches 1 after 74 steps. The first transition is 2141608; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 89 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 778,680
Proper Divisor Sum 64,811
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #713863 ← → #713873

Radix Representation

Decimal 713869
Binary 10101110010010001101 (20 bits)
Octal 0o2562215
Hexadecimal 0xAE48D

Divisor Catalog (8)

1 13 89 617 1,157 8,021 54,913 713,869

Collatz Trajectory (74 steps to reach 1)

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

713,869 2,141,608 1,070,804 535,402 267,701 803,104 401,552 200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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