4,246,256

2⁴ × 7 × 31 × 1223

Starting at 4,246,256, the Collatz iteration reaches 1 after 105 steps. The first transition is 2123128; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 1223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,713,664

Proper Divisor Sum 5,467,408

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4246241 ← → #4246273

Radix Representation

Decimal	4246256
Binary	10000001100101011110000 (23 bits)
Octal	0o20145360
Hexadecimal	0x40CAF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1,223 1,736 2,446 3,472 4,892 8,561 9,784 17,122 19,568 34,244 37,913 68,488 75,826 136,976 151,652 265,391 303,304 530,782 606,608 1,061,564 2,123,128 4,246,256

Collatz Trajectory (105 steps to reach 1)

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

4,246,256 2,123,128 1,061,564 530,782 265,391 796,174 398,087 1,194,262 597,131 1,791,394 895,697 2,687,092 1,343,546 671,773 2,015,320 1,007,660 503,830 251,915 755,746 377,873 1,133,620 566,810 283,405 850,216 425,108 212,554 106,277 318,832 159,416 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944

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