λ
Sequence Observatory

4,590,705

3 × 5 × 7 × 43721
Deficient Odd Composite

Starting at 4,590,705, the Collatz iteration reaches 1 after 237 steps. The first transition is 13772116; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 43721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,394,624
Proper Divisor Sum 3,803,919
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4590689 ← → #4590713

Radix Representation

Decimal 4590705
Binary 10001100000110001110001 (23 bits)
Octal 0o21406161
Hexadecimal 0x460C71

Divisor Catalog (16)

1 3 5 7 15 21 35 105 43,721 131,163 218,605 306,047 655,815 918,141 1,530,235 4,590,705

Collatz Trajectory (237 steps to reach 1)

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

4,590,705 13,772,116 6,886,058 3,443,029 10,329,088 5,164,544 2,582,272 1,291,136 645,568 322,784 161,392 80,696 40,348 20,174 10,087 30,262 15,131 45,394 22,697 68,092 34,046 17,023 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423 736,270 368,135 1,104,406 552,203 1,656,610 828,305 2,484,916 1,242,458 621,229 1,863,688 931,844 465,922 232,961 698,884 349,442 174,721

More profiles

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