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Atlas › Integer Profiles › Node 2,175,492

2,175,492

22 × 3 × 11 × 16481
Abundant Even Composite

2,175,492 factors as 2^2 × 3 × 11 × 16481. Its 24 positive divisors give a proper-divisor sum of 3,362,460, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 16481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,537,952
Proper Divisor Sum 3,362,460
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2175479 ← → #2175497

Radix Representation

Decimal 2175492
Binary 1000010011001000000100 (22 bits)
Octal 0o10231004
Hexadecimal 0x213204

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 16,481 32,962 49,443 65,924 98,886 181,291 197,772 362,582 543,873 725,164 1,087,746 2,175,492

Collatz Trajectory (122 steps to reach 1)

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

2,175,492 1,087,746 543,873 1,631,620 815,810 407,905 1,223,716 611,858 305,929 917,788 458,894 229,447 688,342 344,171 1,032,514 516,257 1,548,772 774,386 387,193 1,161,580 580,790 290,395 871,186 435,593 1,306,780 653,390 326,695 980,086 490,043 1,470,130 735,065 2,205,196 1,102,598 551,299 1,653,898 826,949 2,480,848 1,240,424 620,212 310,106 155,053 465,160 232,580 116,290 58,145 174,436 87,218 43,609 130,828 65,414 32,707 98,122 49,061 147,184 73,592 36,796 18,398 9,199 27,598 13,799

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