λ
Sequence Observatory

1,287,258

2 × 3 × 7 × 30649
Abundant Even Composite

Starting at 1,287,258, the Collatz iteration reaches 1 after 217 steps. The first transition is 643629; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 30649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,942,400
Proper Divisor Sum 1,655,142
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1287239 ← → #1287289

Radix Representation

Decimal 1287258
Binary 100111010010001011010 (21 bits)
Octal 0o4722132
Hexadecimal 0x13A45A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 30,649 61,298 91,947 183,894 214,543 429,086 643,629 1,287,258

Collatz Trajectory (217 steps to reach 1)

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

1,287,258 643,629 1,930,888 965,444 482,722 241,361 724,084 362,042 181,021 543,064 271,532 135,766 67,883 203,650 101,825 305,476 152,738 76,369 229,108 114,554 57,277 171,832 85,916 42,958 21,479 64,438 32,219 96,658 48,329 144,988 72,494 36,247 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004

More profiles

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