7,313,025

3 × 5² × 281 × 347

7,313,025 has the prime decomposition 3 × 5^2 × 281 × 347. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 281 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,168,864

Proper Divisor Sum 4,855,839

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7312997 ← → #7313063

Radix Representation

Decimal	7313025
Binary	11011111001011010000001 (23 bits)
Octal	0o33713201
Hexadecimal	0x6F9681

Divisor Catalog (24)

1 3 5 15 25 75 281 347 843 1,041 1,405 1,735 4,215 5,205 7,025 8,675 21,075 26,025 97,507 292,521 487,535 1,462,605 2,437,675 7,313,025

Collatz Trajectory (248 steps to reach 1)

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

7,313,025 21,939,076 10,969,538 5,484,769 16,454,308 8,227,154 4,113,577 12,340,732 6,170,366 3,085,183 9,255,550 4,627,775 13,883,326 6,941,663 20,824,990 10,412,495 31,237,486 15,618,743 46,856,230 23,428,115 70,284,346 35,142,173 105,426,520 52,713,260 26,356,630 13,178,315 39,534,946 19,767,473 59,302,420 29,651,210 14,825,605 44,476,816 22,238,408 11,119,204 5,559,602 2,779,801 8,339,404 4,169,702 2,084,851 6,254,554 3,127,277 9,381,832 4,690,916 2,345,458 1,172,729 3,518,188 1,759,094 879,547 2,638,642 1,319,321 3,957,964 1,978,982 989,491 2,968,474 1,484,237 4,452,712 2,226,356 1,113,178 556,589 1,669,768

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