λ
Prime Ledger

6,208,375

53 × 49667
Deficient Odd Composite

6,208,375 has the prime decomposition 5^3 × 49667. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 49667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,748,208
Proper Divisor Sum 1,539,833
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6208357 ← → #6208379

Radix Representation

Decimal 6208375
Binary 10111101011101101110111 (23 bits)
Octal 0o27535567
Hexadecimal 0x5EBB77

Divisor Catalog (8)

1 5 25 125 49,667 248,335 1,241,675 6,208,375

Collatz Trajectory (134 steps to reach 1)

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

6,208,375 18,625,126 9,312,563 27,937,690 13,968,845 41,906,536 20,953,268 10,476,634 5,238,317 15,714,952 7,857,476 3,928,738 1,964,369 5,893,108 2,946,554 1,473,277 4,419,832 2,209,916 1,104,958 552,479 1,657,438 828,719 2,486,158 1,243,079 3,729,238 1,864,619 5,593,858 2,796,929 8,390,788 4,195,394 2,097,697 6,293,092 3,146,546 1,573,273 4,719,820 2,359,910 1,179,955 3,539,866 1,769,933 5,309,800 2,654,900 1,327,450 663,725 1,991,176 995,588 497,794 248,897 746,692 373,346 186,673 560,020 280,010 140,005 420,016 210,008 105,004 52,502 26,251 78,754 39,377

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