2,100,080

2⁴ × 5 × 26251

Starting at 2,100,080, the Collatz iteration reaches 1 after 228 steps. The first transition is 1050040; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 26251

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,882,872

Proper Divisor Sum 2,782,792

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #2100079 ← → #2100097

Radix Representation

Decimal	2100080
Binary	1000000000101101110000 (22 bits)
Octal	0o10005560
Hexadecimal	0x200B70

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 26,251 52,502 105,004 131,255 210,008 262,510 420,016 525,020 1,050,040 2,100,080

Collatz Trajectory (228 steps to reach 1)

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

2,100,080 1,050,040 525,020 262,510 131,255 393,766 196,883 590,650 295,325 885,976 442,988 221,494 110,747 332,242 166,121 498,364 249,182 124,591 373,774 186,887 560,662 280,331 840,994 420,497 1,261,492 630,746 315,373 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044 224,522 112,261 336,784 168,392 84,196 42,098 21,049 63,148 31,574 15,787 47,362 23,681 71,044 35,522 17,761 53,284 26,642 13,321

← Previous Integer #2,100,079 Browse Full Index Next Integer #2,100,081 →