λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,952,140

3,952,140

22 × 3 × 5 × 199 × 331
Abundant Even Composite

3,952,140 factors as 2^2 × 3 × 5 × 199 × 331. Its 48 positive divisors give a proper-divisor sum of 7,203,060, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 199 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,155,200
Proper Divisor Sum 7,203,060
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3952127 ← → #3952163

Radix Representation

Decimal 3952140
Binary 1111000100111000001100 (22 bits)
Octal 0o17047014
Hexadecimal 0x3C4E0C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 199 331 398 597 662 796 993 995 1,194 1,324 1,655 1,986 1,990 2,388 2,985 3,310 3,972 3,980 4,965 5,970 6,620 9,930 11,940 19,860 65,869 131,738 197,607 263,476 329,345 395,214 658,690 790,428 988,035 1,317,380 1,976,070 3,952,140

Collatz Trajectory (92 steps to reach 1)

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

3,952,140 1,976,070 988,035 2,964,106 1,482,053 4,446,160 2,223,080 1,111,540 555,770 277,885 833,656 416,828 208,414 104,207 312,622 156,311 468,934 234,467 703,402 351,701 1,055,104 527,552 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,952,139 Browse Full Index Next Integer #3,952,141 →