λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,002,070

50,002,070

2 × 5 × 31 × 101 × 1597
Deficient Even Composite

50,002,070 factors as 2 × 5 × 31 × 101 × 1597. Its 32 positive divisors give a proper-divisor sum of 43,883,626, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 101 × 1597
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,885,696
Proper Divisor Sum 43,883,626
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #50002067 ← → #50002079

Radix Representation

Decimal 50002070
Binary 10111110101111100010010110 (26 bits)
Octal 0o276574226
Hexadecimal 0x2FAF896

Divisor Catalog (32)

1 2 5 10 31 62 101 155 202 310 505 1,010 1,597 3,131 3,194 6,262 7,985 15,655 15,970 31,310 49,507 99,014 161,297 247,535 322,594 495,070 806,485 1,612,970 5,000,207 10,000,414 25,001,035 50,002,070

Collatz Trajectory (106 steps to reach 1)

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

50,002,070 25,001,035 75,003,106 37,501,553 112,504,660 56,252,330 28,126,165 84,378,496 42,189,248 21,094,624 10,547,312 5,273,656 2,636,828 1,318,414 659,207 1,977,622 988,811 2,966,434 1,483,217 4,449,652 2,224,826 1,112,413 3,337,240 1,668,620 834,310 417,155 1,251,466 625,733 1,877,200 938,600 469,300 234,650 117,325 351,976 175,988 87,994 43,997 131,992 65,996 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 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 #50,002,069 Browse Full Index Next Integer #50,002,071 →