3,080,451

3 × 11 × 17³ × 19

Starting at 3,080,451, the Collatz iteration reaches 1 after 213 steps. The first transition is 9241354; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 17^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,011,200

Proper Divisor Sum 1,930,749

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3080443 ← → #3080461

Radix Representation

Decimal	3080451
Binary	1011110000000100000011 (22 bits)
Octal	0o13600403
Hexadecimal	0x2F0103

Divisor Catalog (32)

1 3 11 17 19 33 51 57 187 209 289 323 561 627 867 969 3,179 3,553 4,913 5,491 9,537 10,659 14,739 16,473 54,043 60,401 93,347 162,129 181,203 280,041 1,026,817 3,080,451

Collatz Trajectory (213 steps to reach 1)

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

3,080,451 9,241,354 4,620,677 13,862,032 6,931,016 3,465,508 1,732,754 866,377 2,599,132 1,299,566 649,783 1,949,350 974,675 2,924,026 1,462,013 4,386,040 2,193,020 1,096,510 548,255 1,644,766 822,383 2,467,150 1,233,575 3,700,726 1,850,363 5,551,090 2,775,545 8,326,636 4,163,318 2,081,659 6,244,978 3,122,489 9,367,468 4,683,734 2,341,867 7,025,602 3,512,801 10,538,404 5,269,202 2,634,601 7,903,804 3,951,902 1,975,951 5,927,854 2,963,927 8,891,782 4,445,891 13,337,674 6,668,837 20,006,512 10,003,256 5,001,628 2,500,814 1,250,407 3,751,222 1,875,611 5,626,834 2,813,417 8,440,252 4,220,126

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