5,542,225

5² × 13 × 17053

5,542,225 factors as 5^2 × 13 × 17053. Its 12 positive divisors give a proper-divisor sum of 1,859,211, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 17053

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,401,436

Proper Divisor Sum 1,859,211

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5542223 ← → #5542237

Radix Representation

Decimal	5542225
Binary	10101001001000101010001 (23 bits)
Octal	0o25110521
Hexadecimal	0x549151

Divisor Catalog (12)

1 5 13 25 65 325 17,053 85,265 221,689 426,325 1,108,445 5,542,225

Collatz Trajectory (157 steps to reach 1)

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

5,542,225 16,626,676 8,313,338 4,156,669 12,470,008 6,235,004 3,117,502 1,558,751 4,676,254 2,338,127 7,014,382 3,507,191 10,521,574 5,260,787 15,782,362 7,891,181 23,673,544 11,836,772 5,918,386 2,959,193 8,877,580 4,438,790 2,219,395 6,658,186 3,329,093 9,987,280 4,993,640 2,496,820 1,248,410 624,205 1,872,616 936,308 468,154 234,077 702,232 351,116 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977

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