8,211,821

8211821

Starting at 8,211,821, the Collatz iteration reaches 1 after 137 steps. The first transition is 24635464; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8211821

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 8,211,822

Proper Divisor Sum 1

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8211809 ← → #8211829

Radix Representation

Decimal	8211821
Binary	11111010100110101101101 (23 bits)
Octal	0o37246555
Hexadecimal	0x7D4D6D

Divisor Catalog (2)

1 8,211,821

Collatz Trajectory (137 steps to reach 1)

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

8,211,821 24,635,464 12,317,732 6,158,866 3,079,433 9,238,300 4,619,150 2,309,575 6,928,726 3,464,363 10,393,090 5,196,545 15,589,636 7,794,818 3,897,409 11,692,228 5,846,114 2,923,057 8,769,172 4,384,586 2,192,293 6,576,880 3,288,440 1,644,220 822,110 411,055 1,233,166 616,583 1,849,750 924,875 2,774,626 1,387,313 4,161,940 2,080,970 1,040,485 3,121,456 1,560,728 780,364 390,182 195,091 585,274 292,637 877,912 438,956 219,478 109,739 329,218 164,609 493,828 246,914 123,457 370,372 185,186 92,593 277,780 138,890 69,445 208,336 104,168 52,084

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