λ
Prime Ledger

3,704,825

52 × 148193
Deficient Odd Composite

3,704,825 has the prime decomposition 5^2 × 148193. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 148193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,594,014
Proper Divisor Sum 889,189
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3704821 ← → #3704843

Radix Representation

Decimal 3704825
Binary 1110001000011111111001 (22 bits)
Octal 0o16103771
Hexadecimal 0x3887F9

Divisor Catalog (6)

1 5 25 148,193 740,965 3,704,825

Collatz Trajectory (164 steps to reach 1)

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

3,704,825 11,114,476 5,557,238 2,778,619 8,335,858 4,167,929 12,503,788 6,251,894 3,125,947 9,377,842 4,688,921 14,066,764 7,033,382 3,516,691 10,550,074 5,275,037 15,825,112 7,912,556 3,956,278 1,978,139 5,934,418 2,967,209 8,901,628 4,450,814 2,225,407 6,676,222 3,338,111 10,014,334 5,007,167 15,021,502 7,510,751 22,532,254 11,266,127 33,798,382 16,899,191 50,697,574 25,348,787 76,046,362 38,023,181 114,069,544 57,034,772 28,517,386 14,258,693 42,776,080 21,388,040 10,694,020 5,347,010 2,673,505 8,020,516 4,010,258 2,005,129 6,015,388 3,007,694 1,503,847 4,511,542 2,255,771 6,767,314 3,383,657 10,150,972 5,075,486

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