7,212,925

5² × 31 × 41 × 227

7,212,925 is odd and not a perfect square. Its factorization is 5^2 × 31 × 41 × 227 and its 24 divisors sum to 9,499,392.

Prime Factor Structure

Factorization String 5^2 × 31 × 41 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,499,392

Proper Divisor Sum 2,286,467

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7212917 ← → #7212943

Radix Representation

Decimal	7212925
Binary	11011100000111101111101 (23 bits)
Octal	0o33407575
Hexadecimal	0x6E0F7D

Divisor Catalog (24)

1 5 25 31 41 155 205 227 775 1,025 1,135 1,271 5,675 6,355 7,037 9,307 31,775 35,185 46,535 175,925 232,675 288,517 1,442,585 7,212,925

Collatz Trajectory (178 steps to reach 1)

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

7,212,925 21,638,776 10,819,388 5,409,694 2,704,847 8,114,542 4,057,271 12,171,814 6,085,907 18,257,722 9,128,861 27,386,584 13,693,292 6,846,646 3,423,323 10,269,970 5,134,985 15,404,956 7,702,478 3,851,239 11,553,718 5,776,859 17,330,578 8,665,289 25,995,868 12,997,934 6,498,967 19,496,902 9,748,451 29,245,354 14,622,677 43,868,032 21,934,016 10,967,008 5,483,504 2,741,752 1,370,876 685,438 342,719 1,028,158 514,079 1,542,238 771,119 2,313,358 1,156,679 3,470,038 1,735,019 5,205,058 2,602,529 7,807,588 3,903,794 1,951,897 5,855,692 2,927,846 1,463,923 4,391,770 2,195,885 6,587,656 3,293,828 1,646,914

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