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Atlas › Integer Profiles › Node 5,425,180

5,425,180

22 × 5 × 487 × 557
Abundant Even Composite

5,425,180 factors as 2^2 × 5 × 487 × 557. Its 24 positive divisors give a proper-divisor sum of 6,011,588, so this integer is abundant. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 487 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,436,768
Proper Divisor Sum 6,011,588
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5425153 ← → #5425187

Radix Representation

Decimal 5425180
Binary 10100101100100000011100 (23 bits)
Octal 0o24544034
Hexadecimal 0x52C81C

Divisor Catalog (24)

1 2 4 5 10 20 487 557 974 1,114 1,948 2,228 2,435 2,785 4,870 5,570 9,740 11,140 271,259 542,518 1,085,036 1,356,295 2,712,590 5,425,180

Collatz Trajectory (245 steps to reach 1)

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

5,425,180 2,712,590 1,356,295 4,068,886 2,034,443 6,103,330 3,051,665 9,154,996 4,577,498 2,288,749 6,866,248 3,433,124 1,716,562 858,281 2,574,844 1,287,422 643,711 1,931,134 965,567 2,896,702 1,448,351 4,345,054 2,172,527 6,517,582 3,258,791 9,776,374 4,888,187 14,664,562 7,332,281 21,996,844 10,998,422 5,499,211 16,497,634 8,248,817 24,746,452 12,373,226 6,186,613 18,559,840 9,279,920 4,639,960 2,319,980 1,159,990 579,995 1,739,986 869,993 2,609,980 1,304,990 652,495 1,957,486 978,743 2,936,230 1,468,115 4,404,346 2,202,173 6,606,520 3,303,260 1,651,630 825,815 2,477,446 1,238,723

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