λ
Harmonic Matrix

5,731,757

5731757
Deficient Odd Prime

5,731,757 has digital root 8. The neighboring primes are 5731729 and 5731777; its proper-divisor sum differs from the starting integer by -5,731,756.

Prime Factor Structure

Factorization String 5731757
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,731,758
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5731729 ← → #5731777

Radix Representation

Decimal 5731757
Binary 10101110111010110101101 (23 bits)
Octal 0o25672655
Hexadecimal 0x5775AD

Divisor Catalog (2)

Collatz Trajectory (77 steps to reach 1)

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

5,731,757 17,195,272 8,597,636 4,298,818 2,149,409 6,448,228 3,224,114 1,612,057 4,836,172 2,418,086 1,209,043 3,627,130 1,813,565 5,440,696 2,720,348 1,360,174 680,087 2,040,262 1,020,131 3,060,394 1,530,197 4,590,592 2,295,296 1,147,648 573,824 286,912 143,456 71,728 35,864 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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