λ
Harmonic Matrix

5,747,657

5747657
Deficient Odd Prime

5,747,657 has digital root 5. The neighboring primes are 5747647 and 5747669; its proper-divisor sum differs from the starting integer by -5,747,656.

Prime Factor Structure

Factorization String 5747657
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,747,658
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5747647 ← → #5747669

Radix Representation

Decimal 5747657
Binary 10101111011001111001001 (23 bits)
Octal 0o25731711
Hexadecimal 0x57B3C9

Divisor Catalog (2)

Collatz Trajectory (245 steps to reach 1)

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

5,747,657 17,242,972 8,621,486 4,310,743 12,932,230 6,466,115 19,398,346 9,699,173 29,097,520 14,548,760 7,274,380 3,637,190 1,818,595 5,455,786 2,727,893 8,183,680 4,091,840 2,045,920 1,022,960 511,480 255,740 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203 1,638,610 819,305 2,457,916 1,228,958 614,479 1,843,438 921,719 2,765,158 1,382,579 4,147,738 2,073,869 6,221,608 3,110,804 1,555,402 777,701 2,333,104 1,166,552 583,276 291,638 145,819 437,458 218,729

More profiles

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