8,127,227

8127227

Starting at 8,127,227, the Collatz iteration reaches 1 after 367 steps. The first transition is 24381682; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8127227

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 8,127,228

Proper Divisor Sum 1

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8127209 ← → #8127233

Radix Representation

Decimal	8127227
Binary	11111000000001011111011 (23 bits)
Octal	0o37001373
Hexadecimal	0x7C02FB

Divisor Catalog (2)

1 8,127,227

Collatz Trajectory (367 steps to reach 1)

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

8,127,227 24,381,682 12,190,841 36,572,524 18,286,262 9,143,131 27,429,394 13,714,697 41,144,092 20,572,046 10,286,023 30,858,070 15,429,035 46,287,106 23,143,553 69,430,660 34,715,330 17,357,665 52,072,996 26,036,498 13,018,249 39,054,748 19,527,374 9,763,687 29,291,062 14,645,531 43,936,594 21,968,297 65,904,892 32,952,446 16,476,223 49,428,670 24,714,335 74,143,006 37,071,503 111,214,510 55,607,255 166,821,766 83,410,883 250,232,650 125,116,325 375,348,976 187,674,488 93,837,244 46,918,622 23,459,311 70,377,934 35,188,967 105,566,902 52,783,451 158,350,354 79,175,177 237,525,532 118,762,766 59,381,383 178,144,150 89,072,075 267,216,226 133,608,113 400,824,340

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