λ
Sequence Observatory

1,211,454

2 × 32 × 17 × 37 × 107
Abundant Even Composite

Starting at 1,211,454, the Collatz iteration reaches 1 after 310 steps. The first transition is 605727; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 37 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,881,008
Proper Divisor Sum 1,669,554
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1211443 ← → #1211477

Radix Representation

Decimal 1211454
Binary 100100111110000111110 (21 bits)
Octal 0o4476076
Hexadecimal 0x127C3E

Divisor Catalog (48)

1 2 3 6 9 17 18 34 37 51 74 102 107 111 153 214 222 306 321 333 629 642 666 963 1,258 1,819 1,887 1,926 3,638 3,774 3,959 5,457 5,661 7,918 10,914 11,322 11,877 16,371 23,754 32,742 35,631 67,303 71,262 134,606 201,909 403,818 605,727 1,211,454

Collatz Trajectory (310 steps to reach 1)

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

1,211,454 605,727 1,817,182 908,591 2,725,774 1,362,887 4,088,662 2,044,331 6,132,994 3,066,497 9,199,492 4,599,746 2,299,873 6,899,620 3,449,810 1,724,905 5,174,716 2,587,358 1,293,679 3,881,038 1,940,519 5,821,558 2,910,779 8,732,338 4,366,169 13,098,508 6,549,254 3,274,627 9,823,882 4,911,941 14,735,824 7,367,912 3,683,956 1,841,978 920,989 2,762,968 1,381,484 690,742 345,371 1,036,114 518,057 1,554,172 777,086 388,543 1,165,630 582,815 1,748,446 874,223 2,622,670 1,311,335 3,934,006 1,967,003 5,901,010 2,950,505 8,851,516 4,425,758 2,212,879 6,638,638 3,319,319 9,957,958

More profiles

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