λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,872,016

49,872,016

24 × 17 × 181 × 1013
Abundant Even Composite

49,872,016 factors as 2^4 × 17 × 181 × 1013. Its 40 positive divisors give a proper-divisor sum of 53,105,768, so this integer is abundant. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 181 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 102,977,784
Proper Divisor Sum 53,105,768
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #49872013 ← → #49872023

Radix Representation

Decimal 49872016
Binary 10111110001111110010010000 (26 bits)
Octal 0o276176220
Hexadecimal 0x2F8FC90

Divisor Catalog (40)

1 2 4 8 16 17 34 68 136 181 272 362 724 1,013 1,448 2,026 2,896 3,077 4,052 6,154 8,104 12,308 16,208 17,221 24,616 34,442 49,232 68,884 137,768 183,353 275,536 366,706 733,412 1,466,824 2,933,648 3,117,001 6,234,002 12,468,004 24,936,008 49,872,016

Collatz Trajectory (305 steps to reach 1)

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

49,872,016 24,936,008 12,468,004 6,234,002 3,117,001 9,351,004 4,675,502 2,337,751 7,013,254 3,506,627 10,519,882 5,259,941 15,779,824 7,889,912 3,944,956 1,972,478 986,239 2,958,718 1,479,359 4,438,078 2,219,039 6,657,118 3,328,559 9,985,678 4,992,839 14,978,518 7,489,259 22,467,778 11,233,889 33,701,668 16,850,834 8,425,417 25,276,252 12,638,126 6,319,063 18,957,190 9,478,595 28,435,786 14,217,893 42,653,680 21,326,840 10,663,420 5,331,710 2,665,855 7,997,566 3,998,783 11,996,350 5,998,175 17,994,526 8,997,263 26,991,790 13,495,895 40,487,686 20,243,843 60,731,530 30,365,765 91,097,296 45,548,648 22,774,324 11,387,162

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #49,872,015 Browse Full Index Next Integer #49,872,017 →