2,761,218

2 × 3² × 131 × 1171

Starting at 2,761,218, the Collatz iteration reaches 1 after 275 steps. The first transition is 1380609; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 1171

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,033,456

Proper Divisor Sum 3,272,238

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2761217 ← → #2761223

Radix Representation

Decimal	2761218
Binary	1010100010001000000010 (22 bits)
Octal	0o12421002
Hexadecimal	0x2A2202

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 786 1,171 1,179 2,342 2,358 3,513 7,026 10,539 21,078 153,401 306,802 460,203 920,406 1,380,609 2,761,218

Collatz Trajectory (275 steps to reach 1)

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

2,761,218 1,380,609 4,141,828 2,070,914 1,035,457 3,106,372 1,553,186 776,593 2,329,780 1,164,890 582,445 1,747,336 873,668 436,834 218,417 655,252 327,626 163,813 491,440 245,720 122,860 61,430 30,715 92,146 46,073 138,220 69,110 34,555 103,666 51,833 155,500 77,750 38,875 116,626 58,313 174,940 87,470 43,735 131,206 65,603 196,810 98,405 295,216 147,608 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516

← Previous Integer #2,761,217 Browse Full Index Next Integer #2,761,219 →