7,875,225

3⁴ × 5² × 3889

7,875,225 factors as 3^4 × 5^2 × 3889. Its 30 positive divisors give a proper-divisor sum of 6,716,165, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 3889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 14,591,390

Proper Divisor Sum 6,716,165

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7875193 ← → #7875227

Radix Representation

Decimal	7875225
Binary	11110000010101010011001 (23 bits)
Octal	0o36025231
Hexadecimal	0x782A99

Divisor Catalog (30)

1 3 5 9 15 25 27 45 75 81 135 225 405 675 2,025 3,889 11,667 19,445 35,001 58,335 97,225 105,003 175,005 291,675 315,009 525,015 875,025 1,575,045 2,625,075 7,875,225

Collatz Trajectory (124 steps to reach 1)

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

7,875,225 23,625,676 11,812,838 5,906,419 17,719,258 8,859,629 26,578,888 13,289,444 6,644,722 3,322,361 9,967,084 4,983,542 2,491,771 7,475,314 3,737,657 11,212,972 5,606,486 2,803,243 8,409,730 4,204,865 12,614,596 6,307,298 3,153,649 9,460,948 4,730,474 2,365,237 7,095,712 3,547,856 1,773,928 886,964 443,482 221,741 665,224 332,612 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387 70,162 35,081 105,244 52,622 26,311 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952

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