λ
Prime Ledger

6,002,744

23 × 11 × 68213
Abundant Even Composite

6,002,744 has the prime decomposition 2^3 × 11 × 68213. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 68213
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,278,520
Proper Divisor Sum 6,275,776
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6002741 ← → #6002767

Radix Representation

Decimal 6002744
Binary 10110111001100000111000 (23 bits)
Octal 0o26714070
Hexadecimal 0x5B9838

Divisor Catalog (16)

1 2 4 8 11 22 44 88 68,213 136,426 272,852 545,704 750,343 1,500,686 3,001,372 6,002,744

Collatz Trajectory (113 steps to reach 1)

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

6,002,744 3,001,372 1,500,686 750,343 2,251,030 1,125,515 3,376,546 1,688,273 5,064,820 2,532,410 1,266,205 3,798,616 1,899,308 949,654 474,827 1,424,482 712,241 2,136,724 1,068,362 534,181 1,602,544 801,272 400,636 200,318 100,159 300,478 150,239 450,718 225,359 676,078 338,039 1,014,118 507,059 1,521,178 760,589 2,281,768 1,140,884 570,442 285,221 855,664 427,832 213,916 106,958 53,479 160,438 80,219 240,658 120,329 360,988 180,494 90,247 270,742 135,371 406,114 203,057 609,172 304,586 152,293 456,880 228,440

More profiles

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