2,778,172

2² × 163 × 4261

Starting at 2,778,172, the Collatz iteration reaches 1 after 81 steps. The first transition is 1389086; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 163 × 4261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,892,776

Proper Divisor Sum 2,114,604

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2778151 ← → #2778173

Radix Representation

Decimal	2778172
Binary	1010100110010000111100 (22 bits)
Octal	0o12462074
Hexadecimal	0x2A643C

Divisor Catalog (12)

1 2 4 163 326 652 4,261 8,522 17,044 694,543 1,389,086 2,778,172

Collatz Trajectory (81 steps to reach 1)

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

2,778,172 1,389,086 694,543 2,083,630 1,041,815 3,125,446 1,562,723 4,688,170 2,344,085 7,032,256 3,516,128 1,758,064 879,032 439,516 219,758 109,879 329,638 164,819 494,458 247,229 741,688 370,844 185,422 92,711 278,134 139,067 417,202 208,601 625,804 312,902 156,451 469,354 234,677 704,032 352,016 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490

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