3,803,007

3 × 13³ × 577

3,803,007 is odd and not a perfect square. Its factorization is 3 × 13^3 × 577 and its 16 divisors sum to 5,502,560.

Prime Factor Structure

Factorization String 3 × 13^3 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,502,560

Proper Divisor Sum 1,699,553

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3802999 ← → #3803017

Radix Representation

Decimal	3803007
Binary	1110100000011101111111 (22 bits)
Octal	0o16403577
Hexadecimal	0x3A077F

Divisor Catalog (16)

1 3 13 39 169 507 577 1,731 2,197 6,591 7,501 22,503 97,513 292,539 1,267,669 3,803,007

Collatz Trajectory (322 steps to reach 1)

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

3,803,007 11,409,022 5,704,511 17,113,534 8,556,767 25,670,302 12,835,151 38,505,454 19,252,727 57,758,182 28,879,091 86,637,274 43,318,637 129,955,912 64,977,956 32,488,978 16,244,489 48,733,468 24,366,734 12,183,367 36,550,102 18,275,051 54,825,154 27,412,577 82,237,732 41,118,866 20,559,433 61,678,300 30,839,150 15,419,575 46,258,726 23,129,363 69,388,090 34,694,045 104,082,136 52,041,068 26,020,534 13,010,267 39,030,802 19,515,401 58,546,204 29,273,102 14,636,551 43,909,654 21,954,827 65,864,482 32,932,241 98,796,724 49,398,362 24,699,181 74,097,544 37,048,772 18,524,386 9,262,193 27,786,580 13,893,290 6,946,645 20,839,936 10,419,968 5,209,984

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