λ
Harmonic Matrix

8,377,025

52 × 335081
Deficient Odd Composite

8,377,025 has digital root 5. The neighboring primes are 8377013 and 8377063; its proper-divisor sum differs from the starting integer by -6,366,508.

Prime Factor Structure

Factorization String 5^2 × 335081
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,387,542
Proper Divisor Sum 2,010,517
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8377013 ← → #8377063

Radix Representation

Decimal 8377025
Binary 11111111101001011000001 (23 bits)
Octal 0o37751301
Hexadecimal 0x7FD2C1

Divisor Catalog (6)

1 5 25 335,081 1,675,405 8,377,025

Collatz Trajectory (181 steps to reach 1)

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

8,377,025 25,131,076 12,565,538 6,282,769 18,848,308 9,424,154 4,712,077 14,136,232 7,068,116 3,534,058 1,767,029 5,301,088 2,650,544 1,325,272 662,636 331,318 165,659 496,978 248,489 745,468 372,734 186,367 559,102 279,551 838,654 419,327 1,257,982 628,991 1,886,974 943,487 2,830,462 1,415,231 4,245,694 2,122,847 6,368,542 3,184,271 9,552,814 4,776,407 14,329,222 7,164,611 21,493,834 10,746,917 32,240,752 16,120,376 8,060,188 4,030,094 2,015,047 6,045,142 3,022,571 9,067,714 4,533,857 13,601,572 6,800,786 3,400,393 10,201,180 5,100,590 2,550,295 7,650,886 3,825,443 11,476,330

More profiles

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