6,527,950

2 × 5² × 11² × 13 × 83

Starting at 6,527,950, the Collatz iteration reaches 1 after 121 steps. The first transition is 3263975; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11^2 × 13 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 14,545,944

Proper Divisor Sum 8,017,994

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6527921 ← → #6527977

Radix Representation

Decimal	6527950
Binary	11000111001101111001110 (23 bits)
Octal	0o30715716
Hexadecimal	0x639BCE

Divisor Catalog (60 of 72)

1 2 5 10 11 13 22 25 26 50 55 65 83 110 121 130 143 166 242 275 286 325 415 550 605 650 715 830 913 1,079 1,210 1,430 1,573 1,826 2,075 2,158 3,025 3,146 3,575 4,150 4,565 5,395 6,050 7,150 7,865 9,130 10,043 10,790 11,869 15,730 20,086 22,825 23,738 26,975 39,325 45,650 50,215 53,950 59,345 78,650

Collatz Trajectory (121 steps to reach 1)

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

6,527,950 3,263,975 9,791,926 4,895,963 14,687,890 7,343,945 22,031,836 11,015,918 5,507,959 16,523,878 8,261,939 24,785,818 12,392,909 37,178,728 18,589,364 9,294,682 4,647,341 13,942,024 6,971,012 3,485,506 1,742,753 5,228,260 2,614,130 1,307,065 3,921,196 1,960,598 980,299 2,940,898 1,470,449 4,411,348 2,205,674 1,102,837 3,308,512 1,654,256 827,128 413,564 206,782 103,391 310,174 155,087 465,262 232,631 697,894 348,947 1,046,842 523,421 1,570,264 785,132 392,566 196,283 588,850 294,425 883,276 441,638 220,819 662,458 331,229 993,688 496,844 248,422

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