2,106,120

2³ × 3 × 5 × 17551

2,106,120 has the prime decomposition 2^3 × 3 × 5 × 17551. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17551

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,318,720

Proper Divisor Sum 4,212,600

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2106107 ← → #2106149

Radix Representation

Decimal	2106120
Binary	1000000010001100001000 (22 bits)
Octal	0o10021410
Hexadecimal	0x202308

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17,551 35,102 52,653 70,204 87,755 105,306 140,408 175,510 210,612 263,265 351,020 421,224 526,530 702,040 1,053,060 2,106,120

Collatz Trajectory (166 steps to reach 1)

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

2,106,120 1,053,060 526,530 263,265 789,796 394,898 197,449 592,348 296,174 148,087 444,262 222,131 666,394 333,197 999,592 499,796 249,898 124,949 374,848 187,424 93,712 46,856 23,428 11,714 5,857 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376

← Previous Integer #2,106,119 Browse Full Index Next Integer #2,106,121 →