λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,100,262

3,100,262

2 × 112 × 23 × 557
Deficient Even Composite

3,100,262 factors as 2 × 11^2 × 23 × 557. Its 24 positive divisors give a proper-divisor sum of 2,243,146, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 23 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,343,408
Proper Divisor Sum 2,243,146
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3100259 ← → #3100271

Radix Representation

Decimal 3100262
Binary 1011110100111001100110 (22 bits)
Octal 0o13647146
Hexadecimal 0x2F4E66

Divisor Catalog (24)

1 2 11 22 23 46 121 242 253 506 557 1,114 2,783 5,566 6,127 12,254 12,811 25,622 67,397 134,794 140,921 281,842 1,550,131 3,100,262

Collatz Trajectory (107 steps to reach 1)

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

3,100,262 1,550,131 4,650,394 2,325,197 6,975,592 3,487,796 1,743,898 871,949 2,615,848 1,307,924 653,962 326,981 980,944 490,472 245,236 122,618 61,309 183,928 91,964 45,982 22,991 68,974 34,487 103,462 51,731 155,194 77,597 232,792 116,396 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,100,261 Browse Full Index Next Integer #3,100,263 →