1,064,721

3 × 7² × 7243

Starting at 1,064,721, the Collatz iteration reaches 1 after 240 steps. The first transition is 3194164; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 7243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,651,632

Proper Divisor Sum 586,911

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1064699 ← → #1064731

Radix Representation

Decimal	1064721
Binary	100000011111100010001 (21 bits)
Octal	0o4037421
Hexadecimal	0x103F11

Divisor Catalog (12)

1 3 7 21 49 147 7,243 21,729 50,701 152,103 354,907 1,064,721

Collatz Trajectory (240 steps to reach 1)

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

1,064,721 3,194,164 1,597,082 798,541 2,395,624 1,197,812 598,906 299,453 898,360 449,180 224,590 112,295 336,886 168,443 505,330 252,665 757,996 378,998 189,499 568,498 284,249 852,748 426,374 213,187 639,562 319,781 959,344 479,672 239,836 119,918 59,959 179,878 89,939 269,818 134,909 404,728 202,364 101,182 50,591 151,774 75,887 227,662 113,831 341,494 170,747 512,242 256,121 768,364 384,182 192,091 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700

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