λ
Match Zalai

5,525,625

3 × 54 × 7 × 421
Deficient Odd Composite

5,525,625 factors as 3 × 5^4 × 7 × 421. Its 40 positive divisors give a proper-divisor sum of 5,020,999, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3 × 5^4 × 7 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,546,624
Proper Divisor Sum 5,020,999
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5525623 ← → #5525651

Radix Representation

Decimal 5525625
Binary 10101000101000001111001 (23 bits)
Octal 0o25050171
Hexadecimal 0x545079

Divisor Catalog (40)

1 3 5 7 15 21 25 35 75 105 125 175 375 421 525 625 875 1,263 1,875 2,105 2,625 2,947 4,375 6,315 8,841 10,525 13,125 14,735 31,575 44,205 52,625 73,675 157,875 221,025 263,125 368,375 789,375 1,105,125 1,841,875 5,525,625

Collatz Trajectory (201 steps to reach 1)

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

5,525,625 16,576,876 8,288,438 4,144,219 12,432,658 6,216,329 18,648,988 9,324,494 4,662,247 13,986,742 6,993,371 20,980,114 10,490,057 31,470,172 15,735,086 7,867,543 23,602,630 11,801,315 35,403,946 17,701,973 53,105,920 26,552,960 13,276,480 6,638,240 3,319,120 1,659,560 829,780 414,890 207,445 622,336 311,168 155,584 77,792 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

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