λ
Prime Ledger

4,513,005

32 × 5 × 7 × 14327
Deficient Odd Composite

4,513,005 has the prime decomposition 3^2 × 5 × 7 × 14327. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 14327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,940,672
Proper Divisor Sum 4,427,667
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4512971 ← → #4513021

Radix Representation

Decimal 4513005
Binary 10001001101110011101101 (23 bits)
Octal 0o21156355
Hexadecimal 0x44DCED

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 14,327 42,981 71,635 100,289 128,943 214,905 300,867 501,445 644,715 902,601 1,504,335 4,513,005

Collatz Trajectory (149 steps to reach 1)

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

4,513,005 13,539,016 6,769,508 3,384,754 1,692,377 5,077,132 2,538,566 1,269,283 3,807,850 1,903,925 5,711,776 2,855,888 1,427,944 713,972 356,986 178,493 535,480 267,740 133,870 66,935 200,806 100,403 301,210 150,605 451,816 225,908 112,954 56,477 169,432 84,716 42,358 21,179 63,538 31,769 95,308 47,654 23,827 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772

More profiles

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