λ
Sequence Observatory

1,363,908

22 × 3 × 7 × 13 × 1249
Abundant Even Composite

Starting at 1,363,908, the Collatz iteration reaches 1 after 155 steps. The first transition is 681954; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,920,000
Proper Divisor Sum 2,556,092
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1363897 ← → #1363909

Radix Representation

Decimal 1363908
Binary 101001100111111000100 (21 bits)
Octal 0o5147704
Hexadecimal 0x14CFC4

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 1,249 2,498 3,747 4,996 7,494 8,743 14,988 16,237 17,486 26,229 32,474 34,972 48,711 52,458 64,948 97,422 104,916 113,659 194,844 227,318 340,977 454,636 681,954 1,363,908

Collatz Trajectory (155 steps to reach 1)

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

1,363,908 681,954 340,977 1,022,932 511,466 255,733 767,200 383,600 191,800 95,900 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456

More profiles

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