λ
Sequence Observatory

1,298,687

13 × 283 × 353
Deficient Odd Composite

Starting at 1,298,687, the Collatz iteration reaches 1 after 217 steps. The first transition is 3896062; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 283 × 353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,407,504
Proper Divisor Sum 108,817
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1298653 ← → #1298699

Radix Representation

Decimal 1298687
Binary 100111101000011111111 (21 bits)
Octal 0o4750377
Hexadecimal 0x13D0FF

Divisor Catalog (8)

1 13 283 353 3,679 4,589 99,899 1,298,687

Collatz Trajectory (217 steps to reach 1)

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

1,298,687 3,896,062 1,948,031 5,844,094 2,922,047 8,766,142 4,383,071 13,149,214 6,574,607 19,723,822 9,861,911 29,585,734 14,792,867 44,378,602 22,189,301 66,567,904 33,283,952 16,641,976 8,320,988 4,160,494 2,080,247 6,240,742 3,120,371 9,361,114 4,680,557 14,041,672 7,020,836 3,510,418 1,755,209 5,265,628 2,632,814 1,316,407 3,949,222 1,974,611 5,923,834 2,961,917 8,885,752 4,442,876 2,221,438 1,110,719 3,332,158 1,666,079 4,998,238 2,499,119 7,497,358 3,748,679 11,246,038 5,623,019 16,869,058 8,434,529 25,303,588 12,651,794 6,325,897 18,977,692 9,488,846 4,744,423 14,233,270 7,116,635 21,349,906 10,674,953

More profiles

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