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Atlas › Integer Profiles › Node 20,264,150

20,264,150

2 × 52 × 23 × 67 × 263
Deficient Even Composite

20,264,150 factors as 2 × 5^2 × 23 × 67 × 263. Its 48 positive divisors give a proper-divisor sum of 19,804,714, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 23 × 67 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,068,864
Proper Divisor Sum 19,804,714
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20264141 ← → #20264159

Radix Representation

Decimal 20264150
Binary 1001101010011010011010110 (25 bits)
Octal 0o115232326
Hexadecimal 0x13534D6

Divisor Catalog (48)

1 2 5 10 23 25 46 50 67 115 134 230 263 335 526 575 670 1,150 1,315 1,541 1,675 2,630 3,082 3,350 6,049 6,575 7,705 12,098 13,150 15,410 17,621 30,245 35,242 38,525 60,490 77,050 88,105 151,225 176,210 302,450 405,283 440,525 810,566 881,050 2,026,415 4,052,830 10,132,075 20,264,150

Collatz Trajectory (107 steps to reach 1)

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

20,264,150 10,132,075 30,396,226 15,198,113 45,594,340 22,797,170 11,398,585 34,195,756 17,097,878 8,548,939 25,646,818 12,823,409 38,470,228 19,235,114 9,617,557 28,852,672 14,426,336 7,213,168 3,606,584 1,803,292 901,646 450,823 1,352,470 676,235 2,028,706 1,014,353 3,043,060 1,521,530 760,765 2,282,296 1,141,148 570,574 285,287 855,862 427,931 1,283,794 641,897 1,925,692 962,846 481,423 1,444,270 722,135 2,166,406 1,083,203 3,249,610 1,624,805 4,874,416 2,437,208 1,218,604 609,302 304,651 913,954 456,977 1,370,932 685,466 342,733 1,028,200 514,100 257,050 128,525

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