2,852,551

13² × 16879

Starting at 2,852,551, the Collatz iteration reaches 1 after 125 steps. The first transition is 8557654; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 16879

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,089,040

Proper Divisor Sum 236,489

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2852519 ← → #2852569

Radix Representation

Decimal	2852551
Binary	1010111000011011000111 (22 bits)
Octal	0o12703307
Hexadecimal	0x2B86C7

Divisor Catalog (6)

1 13 169 16,879 219,427 2,852,551

Collatz Trajectory (125 steps to reach 1)

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

2,852,551 8,557,654 4,278,827 12,836,482 6,418,241 19,254,724 9,627,362 4,813,681 14,441,044 7,220,522 3,610,261 10,830,784 5,415,392 2,707,696 1,353,848 676,924 338,462 169,231 507,694 253,847 761,542 380,771 1,142,314 571,157 1,713,472 856,736 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019

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