λ
Prime Ledger

8,882,642

2 × 292 × 5281
Deficient Even Composite

8,882,642 has the prime decomposition 2 × 29^2 × 5281. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 29^2 × 5281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,801,866
Proper Divisor Sum 4,919,224
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8882611 ← → #8882651

Radix Representation

Decimal 8882642
Binary 100001111000100111010010 (24 bits)
Octal 0o41704722
Hexadecimal 0x8789D2

Divisor Catalog (12)

1 2 29 58 841 1,682 5,281 10,562 153,149 306,298 4,441,321 8,882,642

Collatz Trajectory (142 steps to reach 1)

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

8,882,642 4,441,321 13,323,964 6,661,982 3,330,991 9,992,974 4,996,487 14,989,462 7,494,731 22,484,194 11,242,097 33,726,292 16,863,146 8,431,573 25,294,720 12,647,360 6,323,680 3,161,840 1,580,920 790,460 395,230 197,615 592,846 296,423 889,270 444,635 1,333,906 666,953 2,000,860 1,000,430 500,215 1,500,646 750,323 2,250,970 1,125,485 3,376,456 1,688,228 844,114 422,057 1,266,172 633,086 316,543 949,630 474,815 1,424,446 712,223 2,136,670 1,068,335 3,205,006 1,602,503 4,807,510 2,403,755 7,211,266 3,605,633 10,816,900 5,408,450 2,704,225 8,112,676 4,056,338 2,028,169

More profiles

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