2,719,920

2⁴ × 3 × 5 × 7 × 1619

Starting at 2,719,920, the Collatz iteration reaches 1 after 231 steps. The first transition is 1359960; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 1619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 9,642,240

Proper Divisor Sum 6,922,320

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2719903 ← → #2719933

Radix Representation

Decimal	2719920
Binary	1010011000000010110000 (22 bits)
Octal	0o12300260
Hexadecimal	0x2980B0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1,619 1,680 3,238 4,857 6,476 8,095 9,714 11,333 12,952 16,190 19,428 22,666 24,285 25,904 32,380 33,999 38,856 45,332 48,570 56,665 64,760

Collatz Trajectory (231 steps to reach 1)

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

2,719,920 1,359,960 679,980 339,990 169,995 509,986 254,993 764,980 382,490 191,245 573,736 286,868 143,434 71,717 215,152 107,576 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257

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