4,117,025

5² × 11² × 1361

4,117,025 factors as 5^2 × 11^2 × 1361. Its 18 positive divisors give a proper-divisor sum of 1,498,501, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 5^2 × 11^2 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,615,526

Proper Divisor Sum 1,498,501

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4117021 ← → #4117031

Radix Representation

Decimal	4117025
Binary	1111101101001000100001 (22 bits)
Octal	0o17551041
Hexadecimal	0x3ED221

Divisor Catalog (18)

1 5 11 25 55 121 275 605 1,361 3,025 6,805 14,971 34,025 74,855 164,681 374,275 823,405 4,117,025

Collatz Trajectory (198 steps to reach 1)

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

4,117,025 12,351,076 6,175,538 3,087,769 9,263,308 4,631,654 2,315,827 6,947,482 3,473,741 10,421,224 5,210,612 2,605,306 1,302,653 3,907,960 1,953,980 976,990 488,495 1,465,486 732,743 2,198,230 1,099,115 3,297,346 1,648,673 4,946,020 2,473,010 1,236,505 3,709,516 1,854,758 927,379 2,782,138 1,391,069 4,173,208 2,086,604 1,043,302 521,651 1,564,954 782,477 2,347,432 1,173,716 586,858 293,429 880,288 440,144 220,072 110,036 55,018 27,509 82,528 41,264 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354

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