λ
Sequence Observatory

5,461,020

22 × 34 × 5 × 3371
Abundant Even Composite

Starting at 5,461,020, the Collatz iteration reaches 1 after 263 steps. The first transition is 2730510; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 3371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,136,504
Proper Divisor Sum 11,675,484
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5460979 ← → #5461021

Radix Representation

Decimal 5461020
Binary 10100110101010000011100 (23 bits)
Octal 0o24652034
Hexadecimal 0x53541C

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 3,371 6,742 10,113 13,484 16,855 20,226 30,339 33,710 40,452 50,565 60,678 67,420 91,017 101,130 121,356 151,695 182,034 202,260 273,051 303,390 364,068 455,085 546,102 606,780 910,170 1,092,204 1,365,255 1,820,340 2,730,510 5,461,020

Collatz Trajectory (263 steps to reach 1)

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

5,461,020 2,730,510 1,365,255 4,095,766 2,047,883 6,143,650 3,071,825 9,215,476 4,607,738 2,303,869 6,911,608 3,455,804 1,727,902 863,951 2,591,854 1,295,927 3,887,782 1,943,891 5,831,674 2,915,837 8,747,512 4,373,756 2,186,878 1,093,439 3,280,318 1,640,159 4,920,478 2,460,239 7,380,718 3,690,359 11,071,078 5,535,539 16,606,618 8,303,309 24,909,928 12,454,964 6,227,482 3,113,741 9,341,224 4,670,612 2,335,306 1,167,653 3,502,960 1,751,480 875,740 437,870 218,935 656,806 328,403 985,210 492,605 1,477,816 738,908 369,454 184,727 554,182 277,091 831,274 415,637 1,246,912

More profiles

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