λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,005,928

50,005,928

23 × 7 × 677 × 1319
Abundant Even Composite

50,005,928 factors as 2^3 × 7 × 677 × 1319. Its 32 positive divisors give a proper-divisor sum of 57,389,272, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 677 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 107,395,200
Proper Divisor Sum 57,389,272
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #50005927 ← → #50005951

Radix Representation

Decimal 50005928
Binary 10111110110000011110101000 (26 bits)
Octal 0o276603650
Hexadecimal 0x2FB07A8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 677 1,319 1,354 2,638 2,708 4,739 5,276 5,416 9,233 9,478 10,552 18,466 18,956 36,932 37,912 73,864 892,963 1,785,926 3,571,852 6,250,741 7,143,704 12,501,482 25,002,964 50,005,928

Collatz Trajectory (106 steps to reach 1)

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

50,005,928 25,002,964 12,501,482 6,250,741 18,752,224 9,376,112 4,688,056 2,344,028 1,172,014 586,007 1,758,022 879,011 2,637,034 1,318,517 3,955,552 1,977,776 988,888 494,444 247,222 123,611 370,834 185,417 556,252 278,126 139,063 417,190 208,595 625,786 312,893 938,680 469,340 234,670 117,335 352,006 176,003 528,010 264,005 792,016 396,008 198,004 99,002 49,501 148,504 74,252 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,005,927 Browse Full Index Next Integer #50,005,929 →