λ
Sequence Observatory

6,061,008

24 × 3 × 126271
Abundant Even Composite

Starting at 6,061,008, the Collatz iteration reaches 1 after 227 steps. The first transition is 3030504; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 126271
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,657,728
Proper Divisor Sum 9,596,720
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6061001 ← → #6061031

Radix Representation

Decimal 6061008
Binary 10111000111101111010000 (23 bits)
Octal 0o27075720
Hexadecimal 0x5C7BD0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 126,271 252,542 378,813 505,084 757,626 1,010,168 1,515,252 2,020,336 3,030,504 6,061,008

Collatz Trajectory (227 steps to reach 1)

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

6,061,008 3,030,504 1,515,252 757,626 378,813 1,136,440 568,220 284,110 142,055 426,166 213,083 639,250 319,625 958,876 479,438 239,719 719,158 359,579 1,078,738 539,369 1,618,108 809,054 404,527 1,213,582 606,791 1,820,374 910,187 2,730,562 1,365,281 4,095,844 2,047,922 1,023,961 3,071,884 1,535,942 767,971 2,303,914 1,151,957 3,455,872 1,727,936 863,968 431,984 215,992 107,996 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446

More profiles

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