λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,902,018

4,902,018

2 × 3 × 11 × 172 × 257
Abundant Even Composite

4,902,018 factors as 2 × 3 × 11 × 17^2 × 257. Its 48 positive divisors give a proper-divisor sum of 6,503,646, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 17^2 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,405,664
Proper Divisor Sum 6,503,646
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4901989 ← → #4902049

Radix Representation

Decimal 4902018
Binary 10010101100110010000010 (23 bits)
Octal 0o22546202
Hexadecimal 0x4ACC82

Divisor Catalog (48)

1 2 3 6 11 17 22 33 34 51 66 102 187 257 289 374 514 561 578 771 867 1,122 1,542 1,734 2,827 3,179 4,369 5,654 6,358 8,481 8,738 9,537 13,107 16,962 19,074 26,214 48,059 74,273 96,118 144,177 148,546 222,819 288,354 445,638 817,003 1,634,006 2,451,009 4,902,018

Collatz Trajectory (219 steps to reach 1)

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

4,902,018 2,451,009 7,353,028 3,676,514 1,838,257 5,514,772 2,757,386 1,378,693 4,136,080 2,068,040 1,034,020 517,010 258,505 775,516 387,758 193,879 581,638 290,819 872,458 436,229 1,308,688 654,344 327,172 163,586 81,793 245,380 122,690 61,345 184,036 92,018 46,009 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,902,017 Browse Full Index Next Integer #4,902,019 →