7,497,220

2² × 5 × 557 × 673

7,497,220 factors as 2^2 × 5 × 557 × 673. Its 24 positive divisors give a proper-divisor sum of 8,298,644, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 557 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,795,864

Proper Divisor Sum 8,298,644

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7497209 ← → #7497223

Radix Representation

Decimal	7497220
Binary	11100100110011000000100 (23 bits)
Octal	0o34463004
Hexadecimal	0x726604

Divisor Catalog (24)

1 2 4 5 10 20 557 673 1,114 1,346 2,228 2,692 2,785 3,365 5,570 6,730 11,140 13,460 374,861 749,722 1,499,444 1,874,305 3,748,610 7,497,220

Collatz Trajectory (116 steps to reach 1)

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

7,497,220 3,748,610 1,874,305 5,622,916 2,811,458 1,405,729 4,217,188 2,108,594 1,054,297 3,162,892 1,581,446 790,723 2,372,170 1,186,085 3,558,256 1,779,128 889,564 444,782 222,391 667,174 333,587 1,000,762 500,381 1,501,144 750,572 375,286 187,643 562,930 281,465 844,396 422,198 211,099 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554

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