λ
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Atlas › Integer Profiles › Node 22,309,888

22,309,888

210 × 21787
Deficient Even Composite

22,309,888 factors as 2^10 × 21787. Its 22 positive divisors give a proper-divisor sum of 22,290,148, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^10 × 21787
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 44,600,036
Proper Divisor Sum 22,290,148
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #22309883 ← → #22309891

Radix Representation

Decimal 22309888
Binary 1010101000110110000000000 (25 bits)
Octal 0o125066000
Hexadecimal 0x1546C00

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 21,787 43,574 87,148 174,296 348,592 697,184 1,394,368 2,788,736 5,577,472 11,154,944 22,309,888

Collatz Trajectory (141 steps to reach 1)

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

22,309,888 11,154,944 5,577,472 2,788,736 1,394,368 697,184 348,592 174,296 87,148 43,574 21,787 65,362 32,681 98,044 49,022 24,511 73,534 36,767 110,302 55,151 165,454 82,727 248,182 124,091 372,274 186,137 558,412 279,206 139,603 418,810 209,405 628,216 314,108 157,054 78,527 235,582 117,791 353,374 176,687 530,062 265,031 795,094 397,547 1,192,642 596,321 1,788,964 894,482 447,241 1,341,724 670,862 335,431 1,006,294 503,147 1,509,442 754,721 2,264,164 1,132,082 566,041 1,698,124 849,062

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