λ
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Atlas › Integer Profiles › Node 22,123,792

22,123,792

24 × 23 × 79 × 761
Abundant Even Composite

22,123,792 factors as 2^4 × 23 × 79 × 761. Its 40 positive divisors give a proper-divisor sum of 23,230,448, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 79 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 45,354,240
Proper Divisor Sum 23,230,448
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #22123757 ← → #22123799

Radix Representation

Decimal 22123792
Binary 1010100011001010100010000 (25 bits)
Octal 0o124312420
Hexadecimal 0x1519510

Divisor Catalog (40)

1 2 4 8 16 23 46 79 92 158 184 316 368 632 761 1,264 1,522 1,817 3,044 3,634 6,088 7,268 12,176 14,536 17,503 29,072 35,006 60,119 70,012 120,238 140,024 240,476 280,048 480,952 961,904 1,382,737 2,765,474 5,530,948 11,061,896 22,123,792

Collatz Trajectory (141 steps to reach 1)

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

22,123,792 11,061,896 5,530,948 2,765,474 1,382,737 4,148,212 2,074,106 1,037,053 3,111,160 1,555,580 777,790 388,895 1,166,686 583,343 1,750,030 875,015 2,625,046 1,312,523 3,937,570 1,968,785 5,906,356 2,953,178 1,476,589 4,429,768 2,214,884 1,107,442 553,721 1,661,164 830,582 415,291 1,245,874 622,937 1,868,812 934,406 467,203 1,401,610 700,805 2,102,416 1,051,208 525,604 262,802 131,401 394,204 197,102 98,551 295,654 147,827 443,482 221,741 665,224 332,612 166,306 83,153 249,460 124,730 62,365 187,096 93,548 46,774 23,387

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