λ
Sequence Observatory

1,287,390

2 × 3 × 5 × 13 × 3301
Abundant Even Composite

Starting at 1,287,390, the Collatz iteration reaches 1 after 248 steps. The first transition is 643695; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 3301
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,328,416
Proper Divisor Sum 2,041,026
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1287373 ← → #1287401

Radix Representation

Decimal 1287390
Binary 100111010010011011110 (21 bits)
Octal 0o4722336
Hexadecimal 0x13A4DE

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3,301 6,602 9,903 16,505 19,806 33,010 42,913 49,515 85,826 99,030 128,739 214,565 257,478 429,130 643,695 1,287,390

Collatz Trajectory (248 steps to reach 1)

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

1,287,390 643,695 1,931,086 965,543 2,896,630 1,448,315 4,344,946 2,172,473 6,517,420 3,258,710 1,629,355 4,888,066 2,444,033 7,332,100 3,666,050 1,833,025 5,499,076 2,749,538 1,374,769 4,124,308 2,062,154 1,031,077 3,093,232 1,546,616 773,308 386,654 193,327 579,982 289,991 869,974 434,987 1,304,962 652,481 1,957,444 978,722 489,361 1,468,084 734,042 367,021 1,101,064 550,532 275,266 137,633 412,900 206,450 103,225 309,676 154,838 77,419 232,258 116,129 348,388 174,194 87,097 261,292 130,646 65,323 195,970 97,985 293,956

More profiles

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