2,760,170

2 × 5 × 7² × 43 × 131

Starting at 2,760,170, the Collatz iteration reaches 1 after 138 steps. The first transition is 1380085; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 43 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,959,008

Proper Divisor Sum 3,198,838

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2760151 ← → #2760179

Radix Representation

Decimal	2760170
Binary	1010100001110111101010 (22 bits)
Octal	0o12416752
Hexadecimal	0x2A1DEA

Divisor Catalog (48)

1 2 5 7 10 14 35 43 49 70 86 98 131 215 245 262 301 430 490 602 655 917 1,310 1,505 1,834 2,107 3,010 4,214 4,585 5,633 6,419 9,170 10,535 11,266 12,838 21,070 28,165 32,095 39,431 56,330 64,190 78,862 197,155 276,017 394,310 552,034 1,380,085 2,760,170

Collatz Trajectory (138 steps to reach 1)

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

2,760,170 1,380,085 4,140,256 2,070,128 1,035,064 517,532 258,766 129,383 388,150 194,075 582,226 291,113 873,340 436,670 218,335 655,006 327,503 982,510 491,255 1,473,766 736,883 2,210,650 1,105,325 3,315,976 1,657,988 828,994 414,497 1,243,492 621,746 310,873 932,620 466,310 233,155 699,466 349,733 1,049,200 524,600 262,300 131,150 65,575 196,726 98,363 295,090 147,545 442,636 221,318 110,659 331,978 165,989 497,968 248,984 124,492 62,246 31,123 93,370 46,685 140,056 70,028 35,014 17,507

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