2,804,523

3 × 41 × 151²

Starting at 2,804,523, the Collatz iteration reaches 1 after 107 steps. The first transition is 8413570; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 151^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,856,104

Proper Divisor Sum 1,051,581

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2804521 ← → #2804531

Radix Representation

Decimal	2804523
Binary	1010101100101100101011 (22 bits)
Octal	0o12545453
Hexadecimal	0x2ACB2B

Divisor Catalog (12)

1 3 41 123 151 453 6,191 18,573 22,801 68,403 934,841 2,804,523

Collatz Trajectory (107 steps to reach 1)

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

2,804,523 8,413,570 4,206,785 12,620,356 6,310,178 3,155,089 9,465,268 4,732,634 2,366,317 7,098,952 3,549,476 1,774,738 887,369 2,662,108 1,331,054 665,527 1,996,582 998,291 2,994,874 1,497,437 4,492,312 2,246,156 1,123,078 561,539 1,684,618 842,309 2,526,928 1,263,464 631,732 315,866 157,933 473,800 236,900 118,450 59,225 177,676 88,838 44,419 133,258 66,629 199,888 99,944 49,972 24,986 12,493 37,480 18,740 9,370 4,685 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968

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