λ
Sequence Observatory

1,438,300

22 × 52 × 19 × 757
Abundant Even Composite

Starting at 1,438,300, the Collatz iteration reaches 1 after 168 steps. The first transition is 719150; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,289,720
Proper Divisor Sum 1,851,420
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1438291 ← → #1438303

Radix Representation

Decimal 1438300
Binary 101011111001001011100 (21 bits)
Octal 0o5371134
Hexadecimal 0x15F25C

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 757 950 1,514 1,900 3,028 3,785 7,570 14,383 15,140 18,925 28,766 37,850 57,532 71,915 75,700 143,830 287,660 359,575 719,150 1,438,300

Collatz Trajectory (168 steps to reach 1)

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

1,438,300 719,150 359,575 1,078,726 539,363 1,618,090 809,045 2,427,136 1,213,568 606,784 303,392 151,696 75,848 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128

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