6,321,523

13 × 233 × 2087

Starting at 6,321,523, the Collatz iteration reaches 1 after 152 steps. The first transition is 18964570; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 233 × 2087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,840,288

Proper Divisor Sum 518,765

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6321521 ← → #6321563

Radix Representation

Decimal	6321523
Binary	11000000111010101110011 (23 bits)
Octal	0o30072563
Hexadecimal	0x607573

Divisor Catalog (8)

1 13 233 2,087 3,029 27,131 486,271 6,321,523

Collatz Trajectory (152 steps to reach 1)

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

6,321,523 18,964,570 9,482,285 28,446,856 14,223,428 7,111,714 3,555,857 10,667,572 5,333,786 2,666,893 8,000,680 4,000,340 2,000,170 1,000,085 3,000,256 1,500,128 750,064 375,032 187,516 93,758 46,879 140,638 70,319 210,958 105,479 316,438 158,219 474,658 237,329 711,988 355,994 177,997 533,992 266,996 133,498 66,749 200,248 100,124 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683

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