λ
Sequence Observatory

1,227,317

7 × 13 × 13487
Deficient Odd Composite

Starting at 1,227,317, the Collatz iteration reaches 1 after 80 steps. The first transition is 3681952; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 13487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,510,656
Proper Divisor Sum 283,339
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1227301 ← → #1227319

Radix Representation

Decimal 1227317
Binary 100101011101000110101 (21 bits)
Octal 0o4535065
Hexadecimal 0x12BA35

Divisor Catalog (8)

1 7 13 91 13,487 94,409 175,331 1,227,317

Collatz Trajectory (80 steps to reach 1)

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

1,227,317 3,681,952 1,840,976 920,488 460,244 230,122 115,061 345,184 172,592 86,296 43,148 21,574 10,787 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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