4,020,474

2 × 3 × 47 × 53 × 269

Starting at 4,020,474, the Collatz iteration reaches 1 after 247 steps. The first transition is 2010237; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 53 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,398,080

Proper Divisor Sum 4,377,606

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4020463 ← → #4020493

Radix Representation

Decimal	4020474
Binary	1111010101100011111010 (22 bits)
Octal	0o17254372
Hexadecimal	0x3D58FA

Divisor Catalog (32)

1 2 3 6 47 53 94 106 141 159 269 282 318 538 807 1,614 2,491 4,982 7,473 12,643 14,257 14,946 25,286 28,514 37,929 42,771 75,858 85,542 670,079 1,340,158 2,010,237 4,020,474

Collatz Trajectory (247 steps to reach 1)

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

4,020,474 2,010,237 6,030,712 3,015,356 1,507,678 753,839 2,261,518 1,130,759 3,392,278 1,696,139 5,088,418 2,544,209 7,632,628 3,816,314 1,908,157 5,724,472 2,862,236 1,431,118 715,559 2,146,678 1,073,339 3,220,018 1,610,009 4,830,028 2,415,014 1,207,507 3,622,522 1,811,261 5,433,784 2,716,892 1,358,446 679,223 2,037,670 1,018,835 3,056,506 1,528,253 4,584,760 2,292,380 1,146,190 573,095 1,719,286 859,643 2,578,930 1,289,465 3,868,396 1,934,198 967,099 2,901,298 1,450,649 4,351,948 2,175,974 1,087,987 3,263,962 1,631,981 4,895,944 2,447,972 1,223,986 611,993 1,835,980 917,990

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