λ
Sequence Observatory

7,147,620

22 × 32 × 5 × 39709
Abundant Even Composite

Starting at 7,147,620, the Collatz iteration reaches 1 after 266 steps. The first transition is 3573810; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 39709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,681,660
Proper Divisor Sum 14,534,040
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7147607 ← → #7147643

Radix Representation

Decimal 7147620
Binary 11011010001000001100100 (23 bits)
Octal 0o33210144
Hexadecimal 0x6D1064

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 39,709 79,418 119,127 158,836 198,545 238,254 357,381 397,090 476,508 595,635 714,762 794,180 1,191,270 1,429,524 1,786,905 2,382,540 3,573,810 7,147,620

Collatz Trajectory (266 steps to reach 1)

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

7,147,620 3,573,810 1,786,905 5,360,716 2,680,358 1,340,179 4,020,538 2,010,269 6,030,808 3,015,404 1,507,702 753,851 2,261,554 1,130,777 3,392,332 1,696,166 848,083 2,544,250 1,272,125 3,816,376 1,908,188 954,094 477,047 1,431,142 715,571 2,146,714 1,073,357 3,220,072 1,610,036 805,018 402,509 1,207,528 603,764 301,882 150,941 452,824 226,412 113,206 56,603 169,810 84,905 254,716 127,358 63,679 191,038 95,519 286,558 143,279 429,838 214,919 644,758 322,379 967,138 483,569 1,450,708 725,354 362,677 1,088,032 544,016 272,008

More profiles

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