λ
Sequence Observatory

5,065,134

2 × 3 × 19 × 157 × 283
Abundant Even Composite

Starting at 5,065,134, the Collatz iteration reaches 1 after 131 steps. The first transition is 2532567; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 157 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,769,280
Proper Divisor Sum 5,704,146
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5065103 ← → #5065139

Radix Representation

Decimal 5065134
Binary 10011010100100110101110 (23 bits)
Octal 0o23244656
Hexadecimal 0x4D49AE

Divisor Catalog (32)

1 2 3 6 19 38 57 114 157 283 314 471 566 849 942 1,698 2,983 5,377 5,966 8,949 10,754 16,131 17,898 32,262 44,431 88,862 133,293 266,586 844,189 1,688,378 2,532,567 5,065,134

Collatz Trajectory (131 steps to reach 1)

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

5,065,134 2,532,567 7,597,702 3,798,851 11,396,554 5,698,277 17,094,832 8,547,416 4,273,708 2,136,854 1,068,427 3,205,282 1,602,641 4,807,924 2,403,962 1,201,981 3,605,944 1,802,972 901,486 450,743 1,352,230 676,115 2,028,346 1,014,173 3,042,520 1,521,260 760,630 380,315 1,140,946 570,473 1,711,420 855,710 427,855 1,283,566 641,783 1,925,350 962,675 2,888,026 1,444,013 4,332,040 2,166,020 1,083,010 541,505 1,624,516 812,258 406,129 1,218,388 609,194 304,597 913,792 456,896 228,448 114,224 57,112 28,556 14,278 7,139 21,418 10,709 32,128

More profiles

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