2,064,378

2 × 3 × 17 × 37 × 547

Starting at 2,064,378, the Collatz iteration reaches 1 after 135 steps. The first transition is 1032189; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 37 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,497,984

Proper Divisor Sum 2,433,606

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2064373 ← → #2064379

Radix Representation

Decimal	2064378
Binary	111110111111111111010 (21 bits)
Octal	0o7677772
Hexadecimal	0x1F7FFA

Divisor Catalog (32)

1 2 3 6 17 34 37 51 74 102 111 222 547 629 1,094 1,258 1,641 1,887 3,282 3,774 9,299 18,598 20,239 27,897 40,478 55,794 60,717 121,434 344,063 688,126 1,032,189 2,064,378

Collatz Trajectory (135 steps to reach 1)

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

2,064,378 1,032,189 3,096,568 1,548,284 774,142 387,071 1,161,214 580,607 1,741,822 870,911 2,612,734 1,306,367 3,919,102 1,959,551 5,878,654 2,939,327 8,817,982 4,408,991 13,226,974 6,613,487 19,840,462 9,920,231 29,760,694 14,880,347 44,641,042 22,320,521 66,961,564 33,480,782 16,740,391 50,221,174 25,110,587 75,331,762 37,665,881 112,997,644 56,498,822 28,249,411 84,748,234 42,374,117 127,122,352 63,561,176 31,780,588 15,890,294 7,945,147 23,835,442 11,917,721 35,753,164 17,876,582 8,938,291 26,814,874 13,407,437 40,222,312 20,111,156 10,055,578 5,027,789 15,083,368 7,541,684 3,770,842 1,885,421 5,656,264 2,828,132

← Previous Integer #2,064,377 Browse Full Index Next Integer #2,064,379 →