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Atlas › Integer Profiles › Node 4,913,622

4,913,622

2 × 34 × 72 × 619
Abundant Even Composite

4,913,622 factors as 2 × 3^4 × 7^2 × 619. Its 60 positive divisors give a proper-divisor sum of 7,914,798, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7^2 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,828,420
Proper Divisor Sum 7,914,798
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4913621 ← → #4913627

Radix Representation

Decimal 4913622
Binary 10010101111100111010110 (23 bits)
Octal 0o22574726
Hexadecimal 0x4AF9D6

Divisor Catalog (60)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 619 882 1,134 1,238 1,323 1,857 2,646 3,714 3,969 4,333 5,571 7,938 8,666 11,142 12,999 16,713 25,998 30,331 33,426 38,997 50,139 60,662 77,994 90,993 100,278 116,991 181,986 233,982 272,979 350,973 545,958 701,946 818,937 1,637,874 2,456,811 4,913,622

Collatz Trajectory (131 steps to reach 1)

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

4,913,622 2,456,811 7,370,434 3,685,217 11,055,652 5,527,826 2,763,913 8,291,740 4,145,870 2,072,935 6,218,806 3,109,403 9,328,210 4,664,105 13,992,316 6,996,158 3,498,079 10,494,238 5,247,119 15,741,358 7,870,679 23,612,038 11,806,019 35,418,058 17,709,029 53,127,088 26,563,544 13,281,772 6,640,886 3,320,443 9,961,330 4,980,665 14,941,996 7,470,998 3,735,499 11,206,498 5,603,249 16,809,748 8,404,874 4,202,437 12,607,312 6,303,656 3,151,828 1,575,914 787,957 2,363,872 1,181,936 590,968 295,484 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988

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