7,212,325

5² × 288493

7,212,325 is odd and not a perfect square. Its factorization is 5^2 × 288493 and its 6 divisors sum to 8,943,314.

Prime Factor Structure

Factorization String 5^2 × 288493

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,943,314

Proper Divisor Sum 1,730,989

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7212323 ← → #7212341

Radix Representation

Decimal	7212325
Binary	11011100000110100100101 (23 bits)
Octal	0o33406445
Hexadecimal	0x6E0D25

Divisor Catalog (6)

1 5 25 288,493 1,442,465 7,212,325

Collatz Trajectory (72 steps to reach 1)

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

7,212,325 21,636,976 10,818,488 5,409,244 2,704,622 1,352,311 4,056,934 2,028,467 6,085,402 3,042,701 9,128,104 4,564,052 2,282,026 1,141,013 3,423,040 1,711,520 855,760 427,880 213,940 106,970 53,485 160,456 80,228 40,114 20,057 60,172 30,086 15,043 45,130 22,565 67,696 33,848 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212

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