λ
Zalai Atlas

2,236,415

5 × 347 × 1289
Deficient Odd Composite

2,236,415 has the prime decomposition 5 × 347 × 1289. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 347 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,693,520
Proper Divisor Sum 457,105
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2236397 ← → #2236417

Radix Representation

Decimal 2236415
Binary 1000100001111111111111 (22 bits)
Octal 0o10417777
Hexadecimal 0x221FFF

Divisor Catalog (8)

1 5 347 1,289 1,735 6,445 447,283 2,236,415

Collatz Trajectory (122 steps to reach 1)

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

2,236,415 6,709,246 3,354,623 10,063,870 5,031,935 15,095,806 7,547,903 22,643,710 11,321,855 33,965,566 16,982,783 50,948,350 25,474,175 76,422,526 38,211,263 114,633,790 57,316,895 171,950,686 85,975,343 257,926,030 128,963,015 386,889,046 193,444,523 580,333,570 290,166,785 870,500,356 435,250,178 217,625,089 652,875,268 326,437,634 163,218,817 489,656,452 244,828,226 122,414,113 367,242,340 183,621,170 91,810,585 275,431,756 137,715,878 68,857,939 206,573,818 103,286,909 309,860,728 154,930,364 77,465,182 38,732,591 116,197,774 58,098,887 174,296,662 87,148,331 261,444,994 130,722,497 392,167,492 196,083,746 98,041,873 294,125,620 147,062,810 73,531,405 220,594,216 110,297,108

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