λ
Harmonic Matrix

5,763,725

52 × 11 × 20959
Deficient Odd Composite

5,763,725 has digital root 8. The neighboring primes are 5763691 and 5763733; its proper-divisor sum differs from the starting integer by -3,730,330.

Prime Factor Structure

Factorization String 5^2 × 11 × 20959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,797,120
Proper Divisor Sum 2,033,395
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5763691 ← → #5763733

Radix Representation

Decimal 5763725
Binary 10101111111001010001101 (23 bits)
Octal 0o25771215
Hexadecimal 0x57F28D

Divisor Catalog (12)

1 5 11 25 55 275 20,959 104,795 230,549 523,975 1,152,745 5,763,725

Collatz Trajectory (152 steps to reach 1)

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

5,763,725 17,291,176 8,645,588 4,322,794 2,161,397 6,484,192 3,242,096 1,621,048 810,524 405,262 202,631 607,894 303,947 911,842 455,921 1,367,764 683,882 341,941 1,025,824 512,912 256,456 128,228 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562

More profiles

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