λ
Sequence Observatory

5,923,530

2 × 34 × 5 × 71 × 103
Abundant Even Composite

Starting at 5,923,530, the Collatz iteration reaches 1 after 170 steps. The first transition is 2961765; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 71 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 16,308,864
Proper Divisor Sum 10,385,334
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5923529 ← → #5923553

Radix Representation

Decimal 5923530
Binary 10110100110001011001010 (23 bits)
Octal 0o26461312
Hexadecimal 0x5A62CA

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 103 135 142 162 206 213 270 309 355 405 426 515 618 639 710 810 927 1,030 1,065 1,278 1,545 1,854 1,917 2,130 2,781 3,090 3,195 3,834 4,635 5,562 5,751 6,390 7,313 8,343 9,270 9,585 11,502 13,905 14,626 16,686 19,170 21,939 27,810 28,755

Collatz Trajectory (170 steps to reach 1)

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

5,923,530 2,961,765 8,885,296 4,442,648 2,221,324 1,110,662 555,331 1,665,994 832,997 2,498,992 1,249,496 624,748 312,374 156,187 468,562 234,281 702,844 351,422 175,711 527,134 263,567 790,702 395,351 1,186,054 593,027 1,779,082 889,541 2,668,624 1,334,312 667,156 333,578 166,789 500,368 250,184 125,092 62,546 31,273 93,820 46,910 23,455 70,366 35,183 105,550 52,775 158,326 79,163 237,490 118,745 356,236 178,118 89,059 267,178 133,589 400,768 200,384 100,192 50,096 25,048 12,524 6,262

More profiles

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