λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,155,800

3,155,800

23 × 52 × 31 × 509
Abundant Even Composite

3,155,800 factors as 2^3 × 5^2 × 31 × 509. Its 48 positive divisors give a proper-divisor sum of 4,433,000, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 31 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,588,800
Proper Divisor Sum 4,433,000
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3155791 ← → #3155819

Radix Representation

Decimal 3155800
Binary 1100000010011101011000 (22 bits)
Octal 0o14023530
Hexadecimal 0x302758

Divisor Catalog (48)

1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 509 620 775 1,018 1,240 1,550 2,036 2,545 3,100 4,072 5,090 6,200 10,180 12,725 15,779 20,360 25,450 31,558 50,900 63,116 78,895 101,800 126,232 157,790 315,580 394,475 631,160 788,950 1,577,900 3,155,800

Collatz Trajectory (164 steps to reach 1)

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

3,155,800 1,577,900 788,950 394,475 1,183,426 591,713 1,775,140 887,570 443,785 1,331,356 665,678 332,839 998,518 499,259 1,497,778 748,889 2,246,668 1,123,334 561,667 1,685,002 842,501 2,527,504 1,263,752 631,876 315,938 157,969 473,908 236,954 118,477 355,432 177,716 88,858 44,429 133,288 66,644 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,155,799 Browse Full Index Next Integer #3,155,801 →