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Atlas › Integer Profiles › Node 4,181,985

4,181,985

32 × 5 × 199 × 467
Deficient Odd Composite

4,181,985 factors as 3^2 × 5 × 199 × 467. Its 24 positive divisors give a proper-divisor sum of 3,118,815, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 199 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,300,800
Proper Divisor Sum 3,118,815
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4181981 ← → #4181987

Radix Representation

Decimal 4181985
Binary 1111111100111111100001 (22 bits)
Octal 0o17747741
Hexadecimal 0x3FCFE1

Divisor Catalog (24)

1 3 5 9 15 45 199 467 597 995 1,401 1,791 2,335 2,985 4,203 7,005 8,955 21,015 92,933 278,799 464,665 836,397 1,393,995 4,181,985

Collatz Trajectory (180 steps to reach 1)

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

4,181,985 12,545,956 6,272,978 3,136,489 9,409,468 4,704,734 2,352,367 7,057,102 3,528,551 10,585,654 5,292,827 15,878,482 7,939,241 23,817,724 11,908,862 5,954,431 17,863,294 8,931,647 26,794,942 13,397,471 40,192,414 20,096,207 60,288,622 30,144,311 90,432,934 45,216,467 135,649,402 67,824,701 203,474,104 101,737,052 50,868,526 25,434,263 76,302,790 38,151,395 114,454,186 57,227,093 171,681,280 85,840,640 42,920,320 21,460,160 10,730,080 5,365,040 2,682,520 1,341,260 670,630 335,315 1,005,946 502,973 1,508,920 754,460 377,230 188,615 565,846 282,923 848,770 424,385 1,273,156 636,578 318,289 954,868

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