λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,802,146

5,802,146

2 × 7 × 29 × 31 × 461
Deficient Even Composite

5,802,146 factors as 2 × 7 × 29 × 31 × 461. Its 32 positive divisors give a proper-divisor sum of 4,842,334, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2 × 7 × 29 × 31 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,644,480
Proper Divisor Sum 4,842,334
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5802143 ← → #5802149

Radix Representation

Decimal 5802146
Binary 10110001000100010100010 (23 bits)
Octal 0o26104242
Hexadecimal 0x5888A2

Divisor Catalog (32)

1 2 7 14 29 31 58 62 203 217 406 434 461 899 922 1,798 3,227 6,293 6,454 12,586 13,369 14,291 26,738 28,582 93,583 100,037 187,166 200,074 414,439 828,878 2,901,073 5,802,146

Collatz Trajectory (276 steps to reach 1)

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

5,802,146 2,901,073 8,703,220 4,351,610 2,175,805 6,527,416 3,263,708 1,631,854 815,927 2,447,782 1,223,891 3,671,674 1,835,837 5,507,512 2,753,756 1,376,878 688,439 2,065,318 1,032,659 3,097,978 1,548,989 4,646,968 2,323,484 1,161,742 580,871 1,742,614 871,307 2,613,922 1,306,961 3,920,884 1,960,442 980,221 2,940,664 1,470,332 735,166 367,583 1,102,750 551,375 1,654,126 827,063 2,481,190 1,240,595 3,721,786 1,860,893 5,582,680 2,791,340 1,395,670 697,835 2,093,506 1,046,753 3,140,260 1,570,130 785,065 2,355,196 1,177,598 588,799 1,766,398 883,199 2,649,598 1,324,799

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,802,145 Browse Full Index Next Integer #5,802,147 →