λ
Prime Ledger

5,006,821

29 × 172649
Deficient Odd Composite

5,006,821 has the prime decomposition 29 × 172649. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 29 × 172649
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,179,500
Proper Divisor Sum 172,679
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5006773 ← → #5006831

Radix Representation

Decimal 5006821
Binary 10011000110010111100101 (23 bits)
Octal 0o23062745
Hexadecimal 0x4C65E5

Divisor Catalog (4)

1 29 172,649 5,006,821

Collatz Trajectory (206 steps to reach 1)

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

5,006,821 15,020,464 7,510,232 3,755,116 1,877,558 938,779 2,816,338 1,408,169 4,224,508 2,112,254 1,056,127 3,168,382 1,584,191 4,752,574 2,376,287 7,128,862 3,564,431 10,693,294 5,346,647 16,039,942 8,019,971 24,059,914 12,029,957 36,089,872 18,044,936 9,022,468 4,511,234 2,255,617 6,766,852 3,383,426 1,691,713 5,075,140 2,537,570 1,268,785 3,806,356 1,903,178 951,589 2,854,768 1,427,384 713,692 356,846 178,423 535,270 267,635 802,906 401,453 1,204,360 602,180 301,090 150,545 451,636 225,818 112,909 338,728 169,364 84,682 42,341 127,024 63,512 31,756

More profiles

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