2,106,744

2³ × 3 × 41 × 2141

2,106,744 has digital root 6. The neighboring primes are 2106737 and 2106749; its proper-divisor sum differs from the starting integer by 1,184,352.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 2141

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,397,840

Proper Divisor Sum 3,291,096

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2106737 ← → #2106749

Radix Representation

Decimal	2106744
Binary	1000000010010101111000 (22 bits)
Octal	0o10022570
Hexadecimal	0x202578

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2,141 4,282 6,423 8,564 12,846 17,128 25,692 51,384 87,781 175,562 263,343 351,124 526,686 702,248 1,053,372 2,106,744

Collatz Trajectory (166 steps to reach 1)

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

2,106,744 1,053,372 526,686 263,343 790,030 395,015 1,185,046 592,523 1,777,570 888,785 2,666,356 1,333,178 666,589 1,999,768 999,884 499,942 249,971 749,914 374,957 1,124,872 562,436 281,218 140,609 421,828 210,914 105,457 316,372 158,186 79,093 237,280 118,640 59,320 29,660 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

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