λ
Sequence Observatory

3,663,546

2 × 3 × 59 × 79 × 131
Abundant Even Composite

Starting at 3,663,546, the Collatz iteration reaches 1 after 110 steps. The first transition is 1831773; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 79 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,603,200
Proper Divisor Sum 3,939,654
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3663533 ← → #3663547

Radix Representation

Decimal 3663546
Binary 1101111110011010111010 (22 bits)
Octal 0o15763272
Hexadecimal 0x37E6BA

Divisor Catalog (32)

1 2 3 6 59 79 118 131 158 177 237 262 354 393 474 786 4,661 7,729 9,322 10,349 13,983 15,458 20,698 23,187 27,966 31,047 46,374 62,094 610,591 1,221,182 1,831,773 3,663,546

Collatz Trajectory (110 steps to reach 1)

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

3,663,546 1,831,773 5,495,320 2,747,660 1,373,830 686,915 2,060,746 1,030,373 3,091,120 1,545,560 772,780 386,390 193,195 579,586 289,793 869,380 434,690 217,345 652,036 326,018 163,009 489,028 244,514 122,257 366,772 183,386 91,693 275,080 137,540 68,770 34,385 103,156 51,578 25,789 77,368 38,684 19,342 9,671 29,014 14,507 43,522 21,761 65,284 32,642 16,321 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874

More profiles

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