λ
Sequence Observatory

8,580,227

8580227
Deficient Odd Prime

Starting at 8,580,227, the Collatz iteration reaches 1 after 150 steps. The first transition is 25740682; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8580227
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,580,228
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8580217 ← → #8580233

Radix Representation

Decimal 8580227
Binary 100000101110110010000011 (24 bits)
Octal 0o40566203
Hexadecimal 0x82EC83

Divisor Catalog (2)

Collatz Trajectory (150 steps to reach 1)

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

8,580,227 25,740,682 12,870,341 38,611,024 19,305,512 9,652,756 4,826,378 2,413,189 7,239,568 3,619,784 1,809,892 904,946 452,473 1,357,420 678,710 339,355 1,018,066 509,033 1,527,100 763,550 381,775 1,145,326 572,663 1,717,990 858,995 2,576,986 1,288,493 3,865,480 1,932,740 966,370 483,185 1,449,556 724,778 362,389 1,087,168 543,584 271,792 135,896 67,948 33,974 16,987 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425

More profiles

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