λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,877,902

3,877,902

2 × 33 × 7 × 10259
Abundant Even Composite

3,877,902 factors as 2 × 3^3 × 7 × 10259. Its 32 positive divisors give a proper-divisor sum of 5,971,698, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 10259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,849,600
Proper Divisor Sum 5,971,698
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3877901 ← → #3877927

Radix Representation

Decimal 3877902
Binary 1110110010110000001110 (22 bits)
Octal 0o16626016
Hexadecimal 0x3B2C0E

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10,259 20,518 30,777 61,554 71,813 92,331 143,626 184,662 215,439 276,993 430,878 553,986 646,317 1,292,634 1,938,951 3,877,902

Collatz Trajectory (154 steps to reach 1)

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

3,877,902 1,938,951 5,816,854 2,908,427 8,725,282 4,362,641 13,087,924 6,543,962 3,271,981 9,815,944 4,907,972 2,453,986 1,226,993 3,680,980 1,840,490 920,245 2,760,736 1,380,368 690,184 345,092 172,546 86,273 258,820 129,410 64,705 194,116 97,058 48,529 145,588 72,794 36,397 109,192 54,596 27,298 13,649 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,877,901 Browse Full Index Next Integer #3,877,903 →