λ
Sequence Observatory

7,054,767

32 × 23 × 173 × 197
Deficient Odd Composite

Starting at 7,054,767, the Collatz iteration reaches 1 after 129 steps. The first transition is 21164302; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 173 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,749,024
Proper Divisor Sum 3,694,257
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7054759 ← → #7054769

Radix Representation

Decimal 7054767
Binary 11010111010010110101111 (23 bits)
Octal 0o32722657
Hexadecimal 0x6BA5AF

Divisor Catalog (24)

1 3 9 23 69 173 197 207 519 591 1,557 1,773 3,979 4,531 11,937 13,593 34,081 35,811 40,779 102,243 306,729 783,863 2,351,589 7,054,767

Collatz Trajectory (129 steps to reach 1)

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

7,054,767 21,164,302 10,582,151 31,746,454 15,873,227 47,619,682 23,809,841 71,429,524 35,714,762 17,857,381 53,572,144 26,786,072 13,393,036 6,696,518 3,348,259 10,044,778 5,022,389 15,067,168 7,533,584 3,766,792 1,883,396 941,698 470,849 1,412,548 706,274 353,137 1,059,412 529,706 264,853 794,560 397,280 198,640 99,320 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243

More profiles

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