λ
Harmonic Matrix

3,666,136

23 × 487 × 941
Deficient Even Composite

3,666,136 has digital root 4. The neighboring primes are 3666127 and 3666139; its proper-divisor sum differs from the starting integer by -436,832.

Prime Factor Structure

Factorization String 2^3 × 487 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,895,440
Proper Divisor Sum 3,229,304
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3666127 ← → #3666139

Radix Representation

Decimal 3666136
Binary 1101111111000011011000 (22 bits)
Octal 0o15770330
Hexadecimal 0x37F0D8

Divisor Catalog (16)

1 2 4 8 487 941 974 1,882 1,948 3,764 3,896 7,528 458,267 916,534 1,833,068 3,666,136

Collatz Trajectory (216 steps to reach 1)

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

3,666,136 1,833,068 916,534 458,267 1,374,802 687,401 2,062,204 1,031,102 515,551 1,546,654 773,327 2,319,982 1,159,991 3,479,974 1,739,987 5,219,962 2,609,981 7,829,944 3,914,972 1,957,486 978,743 2,936,230 1,468,115 4,404,346 2,202,173 6,606,520 3,303,260 1,651,630 825,815 2,477,446 1,238,723 3,716,170 1,858,085 5,574,256 2,787,128 1,393,564 696,782 348,391 1,045,174 522,587 1,567,762 783,881 2,351,644 1,175,822 587,911 1,763,734 881,867 2,645,602 1,322,801 3,968,404 1,984,202 992,101 2,976,304 1,488,152 744,076 372,038 186,019 558,058 279,029 837,088

More profiles

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