2,122,367

13 × 163259

Starting at 2,122,367, the Collatz iteration reaches 1 after 272 steps. The first transition is 6367102; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 163259

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,285,640

Proper Divisor Sum 163,273

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2122363 ← → #2122369

Radix Representation

Decimal	2122367
Binary	1000000110001001111111 (22 bits)
Octal	0o10061177
Hexadecimal	0x20627F

Divisor Catalog (4)

1 13 163,259 2,122,367

Collatz Trajectory (272 steps to reach 1)

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

2,122,367 6,367,102 3,183,551 9,550,654 4,775,327 14,325,982 7,162,991 21,488,974 10,744,487 32,233,462 16,116,731 48,350,194 24,175,097 72,525,292 36,262,646 18,131,323 54,393,970 27,196,985 81,590,956 40,795,478 20,397,739 61,193,218 30,596,609 91,789,828 45,894,914 22,947,457 68,842,372 34,421,186 17,210,593 51,631,780 25,815,890 12,907,945 38,723,836 19,361,918 9,680,959 29,042,878 14,521,439 43,564,318 21,782,159 65,346,478 32,673,239 98,019,718 49,009,859 147,029,578 73,514,789 220,544,368 110,272,184 55,136,092 27,568,046 13,784,023 41,352,070 20,676,035 62,028,106 31,014,053 93,042,160 46,521,080 23,260,540 11,630,270 5,815,135 17,445,406

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