7,395,625

5⁴ × 11833

7,395,625 factors as 5^4 × 11833. Its 10 positive divisors give a proper-divisor sum of 1,846,729, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 5^4 × 11833

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 9,242,354

Proper Divisor Sum 1,846,729

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7395607 ← → #7395637

Radix Representation

Decimal	7395625
Binary	11100001101100100101001 (23 bits)
Octal	0o34154451
Hexadecimal	0x70D929

Divisor Catalog (10)

1 5 25 125 625 11,833 59,165 295,825 1,479,125 7,395,625

Collatz Trajectory (160 steps to reach 1)

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

7,395,625 22,186,876 11,093,438 5,546,719 16,640,158 8,320,079 24,960,238 12,480,119 37,440,358 18,720,179 56,160,538 28,080,269 84,240,808 42,120,404 21,060,202 10,530,101 31,590,304 15,795,152 7,897,576 3,948,788 1,974,394 987,197 2,961,592 1,480,796 740,398 370,199 1,110,598 555,299 1,665,898 832,949 2,498,848 1,249,424 624,712 312,356 156,178 78,089 234,268 117,134 58,567 175,702 87,851 263,554 131,777 395,332 197,666 98,833 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392 41,696 20,848 10,424 5,212 2,606 1,303

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