7,027,325

5² × 181 × 1553

7,027,325 factors as 5^2 × 181 × 1553. Its 12 positive divisors give a proper-divisor sum of 1,740,343, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5^2 × 181 × 1553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,767,668

Proper Divisor Sum 1,740,343

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7027303 ← → #7027327

Radix Representation

Decimal	7027325
Binary	11010110011101001111101 (23 bits)
Octal	0o32635175
Hexadecimal	0x6B3A7D

Divisor Catalog (12)

1 5 25 181 905 1,553 4,525 7,765 38,825 281,093 1,405,465 7,027,325

Collatz Trajectory (178 steps to reach 1)

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

7,027,325 21,081,976 10,540,988 5,270,494 2,635,247 7,905,742 3,952,871 11,858,614 5,929,307 17,787,922 8,893,961 26,681,884 13,340,942 6,670,471 20,011,414 10,005,707 30,017,122 15,008,561 45,025,684 22,512,842 11,256,421 33,769,264 16,884,632 8,442,316 4,221,158 2,110,579 6,331,738 3,165,869 9,497,608 4,748,804 2,374,402 1,187,201 3,561,604 1,780,802 890,401 2,671,204 1,335,602 667,801 2,003,404 1,001,702 500,851 1,502,554 751,277 2,253,832 1,126,916 563,458 281,729 845,188 422,594 211,297 633,892 316,946 158,473 475,420 237,710 118,855 356,566 178,283 534,850 267,425

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