4,180,100

2² × 5² × 41801

4,180,100 factors as 2^2 × 5^2 × 41801. Its 18 positive divisors give a proper-divisor sum of 4,890,934, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 41801

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,071,034

Proper Divisor Sum 4,890,934

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #4180097 ← → #4180153

Radix Representation

Decimal	4180100
Binary	1111111100100010000100 (22 bits)
Octal	0o17744204
Hexadecimal	0x3FC884

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 41,801 83,602 167,204 209,005 418,010 836,020 1,045,025 2,090,050 4,180,100

Collatz Trajectory (159 steps to reach 1)

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

4,180,100 2,090,050 1,045,025 3,135,076 1,567,538 783,769 2,351,308 1,175,654 587,827 1,763,482 881,741 2,645,224 1,322,612 661,306 330,653 991,960 495,980 247,990 123,995 371,986 185,993 557,980 278,990 139,495 418,486 209,243 627,730 313,865 941,596 470,798 235,399 706,198 353,099 1,059,298 529,649 1,588,948 794,474 397,237 1,191,712 595,856 297,928 148,964 74,482 37,241 111,724 55,862 27,931 83,794 41,897 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083

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