2,171,736

2³ × 3² × 7 × 31 × 139

2,171,736 has the prime decomposition 2^3 × 3^2 × 7 × 31 × 139. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 31 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 6,988,800

Proper Divisor Sum 4,817,064

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2171717 ← → #2171737

Radix Representation

Decimal	2171736
Binary	1000010010001101011000 (22 bits)
Octal	0o10221530
Hexadecimal	0x212358

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 139 168 186 217 248 252 278 279 372 417 434 504 556 558 651 744 834 868 973 1,112 1,116 1,251 1,302 1,668 1,736 1,946 1,953 2,232 2,502 2,604 2,919 3,336 3,892 3,906 4,309

Collatz Trajectory (228 steps to reach 1)

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

2,171,736 1,085,868 542,934 271,467 814,402 407,201 1,221,604 610,802 305,401 916,204 458,102 229,051 687,154 343,577 1,030,732 515,366 257,683 773,050 386,525 1,159,576 579,788 289,894 144,947 434,842 217,421 652,264 326,132 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775

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