λ
Sigma Notebook

7,725,070

2 × 5 × 131 × 5897
Deficient Even Composite

7,725,070 is even and not a perfect square. Its factorization is 2 × 5 × 131 × 5897 and its 16 divisors sum to 14,013,648.

Prime Factor Structure

Factorization String 2 × 5 × 131 × 5897
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,013,648
Proper Divisor Sum 6,288,578
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7725043 ← → #7725071

Radix Representation

Decimal 7725070
Binary 11101011110000000001110 (23 bits)
Octal 0o35360016
Hexadecimal 0x75E00E

Divisor Catalog (16)

1 2 5 10 131 262 655 1,310 5,897 11,794 29,485 58,970 772,507 1,545,014 3,862,535 7,725,070

Collatz Trajectory (98 steps to reach 1)

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

7,725,070 3,862,535 11,587,606 5,793,803 17,381,410 8,690,705 26,072,116 13,036,058 6,518,029 19,554,088 9,777,044 4,888,522 2,444,261 7,332,784 3,666,392 1,833,196 916,598 458,299 1,374,898 687,449 2,062,348 1,031,174 515,587 1,546,762 773,381 2,320,144 1,160,072 580,036 290,018 145,009 435,028 217,514 108,757 326,272 163,136 81,568 40,784 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

More profiles

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