8,068,521

3 × 19 × 353 × 401

Starting at 8,068,521, the Collatz iteration reaches 1 after 261 steps. The first transition is 24205564; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 353 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,384,640

Proper Divisor Sum 3,316,119

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8068519 ← → #8068573

Radix Representation

Decimal	8068521
Binary	11110110001110110101001 (23 bits)
Octal	0o36616651
Hexadecimal	0x7B1DA9

Divisor Catalog (16)

1 3 19 57 353 401 1,059 1,203 6,707 7,619 20,121 22,857 141,553 424,659 2,689,507 8,068,521

Collatz Trajectory (261 steps to reach 1)

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

8,068,521 24,205,564 12,102,782 6,051,391 18,154,174 9,077,087 27,231,262 13,615,631 40,846,894 20,423,447 61,270,342 30,635,171 91,905,514 45,952,757 137,858,272 68,929,136 34,464,568 17,232,284 8,616,142 4,308,071 12,924,214 6,462,107 19,386,322 9,693,161 29,079,484 14,539,742 7,269,871 21,809,614 10,904,807 32,714,422 16,357,211 49,071,634 24,535,817 73,607,452 36,803,726 18,401,863 55,205,590 27,602,795 82,808,386 41,404,193 124,212,580 62,106,290 31,053,145 93,159,436 46,579,718 23,289,859 69,869,578 34,934,789 104,804,368 52,402,184 26,201,092 13,100,546 6,550,273 19,650,820 9,825,410 4,912,705 14,738,116 7,369,058 3,684,529 11,053,588

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