λ
Prime Ledger

4,166,649

32 × 17 × 113 × 241
Deficient Odd Composite

4,166,649 has the prime decomposition 3^2 × 17 × 113 × 241. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 113 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,455,592
Proper Divisor Sum 2,288,943
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4166647 ← → #4166651

Radix Representation

Decimal 4166649
Binary 1111111001001111111001 (22 bits)
Octal 0o17711771
Hexadecimal 0x3F93F9

Divisor Catalog (24)

1 3 9 17 51 113 153 241 339 723 1,017 1,921 2,169 4,097 5,763 12,291 17,289 27,233 36,873 81,699 245,097 462,961 1,388,883 4,166,649

Collatz Trajectory (136 steps to reach 1)

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

4,166,649 12,499,948 6,249,974 3,124,987 9,374,962 4,687,481 14,062,444 7,031,222 3,515,611 10,546,834 5,273,417 15,820,252 7,910,126 3,955,063 11,865,190 5,932,595 17,797,786 8,898,893 26,696,680 13,348,340 6,674,170 3,337,085 10,011,256 5,005,628 2,502,814 1,251,407 3,754,222 1,877,111 5,631,334 2,815,667 8,447,002 4,223,501 12,670,504 6,335,252 3,167,626 1,583,813 4,751,440 2,375,720 1,187,860 593,930 296,965 890,896 445,448 222,724 111,362 55,681 167,044 83,522 41,761 125,284 62,642 31,321 93,964 46,982 23,491 70,474 35,237 105,712 52,856 26,428

More profiles

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