λ
Prime Ledger

542,022

2 × 3 × 13 × 6949
Abundant Even Composite

542,022 has the prime decomposition 2 × 3 × 13 × 6949. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 6949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,167,600
Proper Divisor Sum 625,578
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #542021 ← → #542023

Radix Representation

Decimal 542022
Binary 10000100010101000110 (20 bits)
Octal 0o2042506
Hexadecimal 0x84546

Divisor Catalog (16)

1 2 3 6 13 26 39 78 6,949 13,898 20,847 41,694 90,337 180,674 271,011 542,022

Collatz Trajectory (151 steps to reach 1)

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

542,022 271,011 813,034 406,517 1,219,552 609,776 304,888 152,444 76,222 38,111 114,334 57,167 171,502 85,751 257,254 128,627 385,882 192,941 578,824 289,412 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049 183,148 91,574 45,787 137,362 68,681 206,044 103,022 51,511 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772

More profiles

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