λ
Sequence Observatory

1,602,978

2 × 3 × 13 × 20551
Abundant Even Composite

Starting at 1,602,978, the Collatz iteration reaches 1 after 145 steps. The first transition is 801489; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 20551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,452,736
Proper Divisor Sum 1,849,758
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1602961 ← → #1603009

Radix Representation

Decimal 1602978
Binary 110000111010110100010 (21 bits)
Octal 0o6072642
Hexadecimal 0x1875A2

Divisor Catalog (16)

1 2 3 6 13 26 39 78 20,551 41,102 61,653 123,306 267,163 534,326 801,489 1,602,978

Collatz Trajectory (145 steps to reach 1)

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

1,602,978 801,489 2,404,468 1,202,234 601,117 1,803,352 901,676 450,838 225,419 676,258 338,129 1,014,388 507,194 253,597 760,792 380,396 190,198 95,099 285,298 142,649 427,948 213,974 106,987 320,962 160,481 481,444 240,722 120,361 361,084 180,542 90,271 270,814 135,407 406,222 203,111 609,334 304,667 914,002 457,001 1,371,004 685,502 342,751 1,028,254 514,127 1,542,382 771,191 2,313,574 1,156,787 3,470,362 1,735,181 5,205,544 2,602,772 1,301,386 650,693 1,952,080 976,040 488,020 244,010 122,005 366,016

More profiles

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