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Atlas › Integer Profiles › Node 22,010,248

22,010,248

23 × 13 × 31 × 6827
Abundant Even Composite

22,010,248 factors as 2^3 × 13 × 31 × 6827. Its 32 positive divisors give a proper-divisor sum of 23,873,912, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 6827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,884,160
Proper Divisor Sum 23,873,912
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #22010239 ← → #22010249

Radix Representation

Decimal 22010248
Binary 1010011111101100110001000 (25 bits)
Octal 0o123754610
Hexadecimal 0x14FD988

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 3,224 6,827 13,654 27,308 54,616 88,751 177,502 211,637 355,004 423,274 710,008 846,548 1,693,096 2,751,281 5,502,562 11,005,124 22,010,248

Collatz Trajectory (172 steps to reach 1)

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

22,010,248 11,005,124 5,502,562 2,751,281 8,253,844 4,126,922 2,063,461 6,190,384 3,095,192 1,547,596 773,798 386,899 1,160,698 580,349 1,741,048 870,524 435,262 217,631 652,894 326,447 979,342 489,671 1,469,014 734,507 2,203,522 1,101,761 3,305,284 1,652,642 826,321 2,478,964 1,239,482 619,741 1,859,224 929,612 464,806 232,403 697,210 348,605 1,045,816 522,908 261,454 130,727 392,182 196,091 588,274 294,137 882,412 441,206 220,603 661,810 330,905 992,716 496,358 248,179 744,538 372,269 1,116,808 558,404 279,202 139,601

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