7,427,672

2³ × 7 × 132637

7,427,672 is even and not a perfect square. Its factorization is 2^3 × 7 × 132637 and its 16 divisors sum to 15,916,560.

Prime Factor Structure

Factorization String 2^3 × 7 × 132637

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,916,560

Proper Divisor Sum 8,488,888

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7427663 ← → #7427699

Radix Representation

Decimal	7427672
Binary	11100010101011001011000 (23 bits)
Octal	0o34253130
Hexadecimal	0x715658

Divisor Catalog (16)

1 2 4 7 8 14 28 56 132,637 265,274 530,548 928,459 1,061,096 1,856,918 3,713,836 7,427,672

Collatz Trajectory (116 steps to reach 1)

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

7,427,672 3,713,836 1,856,918 928,459 2,785,378 1,392,689 4,178,068 2,089,034 1,044,517 3,133,552 1,566,776 783,388 391,694 195,847 587,542 293,771 881,314 440,657 1,321,972 660,986 330,493 991,480 495,740 247,870 123,935 371,806 185,903 557,710 278,855 836,566 418,283 1,254,850 627,425 1,882,276 941,138 470,569 1,411,708 705,854 352,927 1,058,782 529,391 1,588,174 794,087 2,382,262 1,191,131 3,573,394 1,786,697 5,360,092 2,680,046 1,340,023 4,020,070 2,010,035 6,030,106 3,015,053 9,045,160 4,522,580 2,261,290 1,130,645 3,391,936 1,695,968

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