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Atlas › Integer Profiles › Node 21,260,608

21,260,608

26 × 17 × 19541
Abundant Even Composite

21,260,608 factors as 2^6 × 17 × 19541. Its 28 positive divisors give a proper-divisor sum of 23,412,404, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 19541
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 44,673,012
Proper Divisor Sum 23,412,404
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #21260549 ← → #21260609

Radix Representation

Decimal 21260608
Binary 1010001000110100101000000 (25 bits)
Octal 0o121064500
Hexadecimal 0x1446940

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 19,541 39,082 78,164 156,328 312,656 332,197 625,312 664,394 1,250,624 1,328,788 2,657,576 5,315,152 10,630,304 21,260,608

Collatz Trajectory (234 steps to reach 1)

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

21,260,608 10,630,304 5,315,152 2,657,576 1,328,788 664,394 332,197 996,592 498,296 249,148 124,574 62,287 186,862 93,431 280,294 140,147 420,442 210,221 630,664 315,332 157,666 78,833 236,500 118,250 59,125 177,376 88,688 44,344 22,172 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748

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