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Atlas › Integer Profiles › Node 20,560,852

20,560,852

22 × 13 × 233 × 1697
Deficient Even Composite

20,560,852 factors as 2^2 × 13 × 233 × 1697. Its 24 positive divisors give a proper-divisor sum of 18,377,684, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 233 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 38,938,536
Proper Divisor Sum 18,377,684
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #20560847 ← → #20560853

Radix Representation

Decimal 20560852
Binary 1001110011011101111010100 (25 bits)
Octal 0o116335724
Hexadecimal 0x139BBD4

Divisor Catalog (24)

1 2 4 13 26 52 233 466 932 1,697 3,029 3,394 6,058 6,788 12,116 22,061 44,122 88,244 395,401 790,802 1,581,604 5,140,213 10,280,426 20,560,852

Collatz Trajectory (177 steps to reach 1)

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

20,560,852 10,280,426 5,140,213 15,420,640 7,710,320 3,855,160 1,927,580 963,790 481,895 1,445,686 722,843 2,168,530 1,084,265 3,252,796 1,626,398 813,199 2,439,598 1,219,799 3,659,398 1,829,699 5,489,098 2,744,549 8,233,648 4,116,824 2,058,412 1,029,206 514,603 1,543,810 771,905 2,315,716 1,157,858 578,929 1,736,788 868,394 434,197 1,302,592 651,296 325,648 162,824 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623

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