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5,453,630

2 × 5 × 7 × 132 × 461
Abundant Even Composite

5,453,630 factors as 2 × 5 × 7 × 13^2 × 461. Its 48 positive divisors give a proper-divisor sum of 6,720,994, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,174,624
Proper Divisor Sum 6,720,994
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5453629 ← → #5453641

Radix Representation

Decimal 5453630
Binary 10100110011011100111110 (23 bits)
Octal 0o24633476
Hexadecimal 0x53373E

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 461 845 910 922 1,183 1,690 2,305 2,366 3,227 4,610 5,915 5,993 6,454 11,830 11,986 16,135 29,965 32,270 41,951 59,930 77,909 83,902 155,818 209,755 389,545 419,510 545,363 779,090 1,090,726 2,726,815 5,453,630

Collatz Trajectory (201 steps to reach 1)

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

5,453,630 2,726,815 8,180,446 4,090,223 12,270,670 6,135,335 18,406,006 9,203,003 27,609,010 13,804,505 41,413,516 20,706,758 10,353,379 31,060,138 15,530,069 46,590,208 23,295,104 11,647,552 5,823,776 2,911,888 1,455,944 727,972 363,986 181,993 545,980 272,990 136,495 409,486 204,743 614,230 307,115 921,346 460,673 1,382,020 691,010 345,505 1,036,516 518,258 259,129 777,388 388,694 194,347 583,042 291,521 874,564 437,282 218,641 655,924 327,962 163,981 491,944 245,972 122,986 61,493 184,480 92,240 46,120 23,060 11,530 5,765

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