λ
Sigma Notebook

7,712,427

3 × 2570809
Deficient Odd Composite

7,712,427 is odd and not a perfect square. Its factorization is 3 × 2570809 and its 4 divisors sum to 10,283,240.

Prime Factor Structure

Factorization String 3 × 2570809
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,283,240
Proper Divisor Sum 2,570,813
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7712399 ← → #7712431

Radix Representation

Decimal 7712427
Binary 11101011010111010101011 (23 bits)
Octal 0o35327253
Hexadecimal 0x75AEAB

Divisor Catalog (4)

1 3 2,570,809 7,712,427

Collatz Trajectory (230 steps to reach 1)

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

7,712,427 23,137,282 11,568,641 34,705,924 17,352,962 8,676,481 26,029,444 13,014,722 6,507,361 19,522,084 9,761,042 4,880,521 14,641,564 7,320,782 3,660,391 10,981,174 5,490,587 16,471,762 8,235,881 24,707,644 12,353,822 6,176,911 18,530,734 9,265,367 27,796,102 13,898,051 41,694,154 20,847,077 62,541,232 31,270,616 15,635,308 7,817,654 3,908,827 11,726,482 5,863,241 17,589,724 8,794,862 4,397,431 13,192,294 6,596,147 19,788,442 9,894,221 29,682,664 14,841,332 7,420,666 3,710,333 11,131,000 5,565,500 2,782,750 1,391,375 4,174,126 2,087,063 6,261,190 3,130,595 9,391,786 4,695,893 14,087,680 7,043,840 3,521,920 1,760,960

More profiles

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