λ
Prime Ledger

2,179,962

2 × 32 × 163 × 743
Abundant Even Composite

2,179,962 has the prime decomposition 2 × 3^2 × 163 × 743. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,758,624
Proper Divisor Sum 2,578,662
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2179939 ← → #2179967

Radix Representation

Decimal 2179962
Binary 1000010100001101111010 (22 bits)
Octal 0o10241572
Hexadecimal 0x21437A

Divisor Catalog (24)

1 2 3 6 9 18 163 326 489 743 978 1,467 1,486 2,229 2,934 4,458 6,687 13,374 121,109 242,218 363,327 726,654 1,089,981 2,179,962

Collatz Trajectory (166 steps to reach 1)

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

2,179,962 1,089,981 3,269,944 1,634,972 817,486 408,743 1,226,230 613,115 1,839,346 919,673 2,759,020 1,379,510 689,755 2,069,266 1,034,633 3,103,900 1,551,950 775,975 2,327,926 1,163,963 3,491,890 1,745,945 5,237,836 2,618,918 1,309,459 3,928,378 1,964,189 5,892,568 2,946,284 1,473,142 736,571 2,209,714 1,104,857 3,314,572 1,657,286 828,643 2,485,930 1,242,965 3,728,896 1,864,448 932,224 466,112 233,056 116,528 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305

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