λ
Prime Ledger

6,621,736

23 × 11 × 47 × 1601
Abundant Even Composite

6,621,736 has the prime decomposition 2^3 × 11 × 47 × 1601. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 47 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,841,280
Proper Divisor Sum 7,219,544
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6621731 ← → #6621749

Radix Representation

Decimal 6621736
Binary 11001010000101000101000 (23 bits)
Octal 0o31205050
Hexadecimal 0x650A28

Divisor Catalog (32)

1 2 4 8 11 22 44 47 88 94 188 376 517 1,034 1,601 2,068 3,202 4,136 6,404 12,808 17,611 35,222 70,444 75,247 140,888 150,494 300,988 601,976 827,717 1,655,434 3,310,868 6,621,736

Collatz Trajectory (90 steps to reach 1)

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

6,621,736 3,310,868 1,655,434 827,717 2,483,152 1,241,576 620,788 310,394 155,197 465,592 232,796 116,398 58,199 174,598 87,299 261,898 130,949 392,848 196,424 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010

More profiles

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