λ
Prime Ledger

8,376,723

33 × 5572
Deficient Odd Composite

8,376,723 has the prime decomposition 3^3 × 557^2. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 557^2
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,432,280
Proper Divisor Sum 4,055,557
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8376721 ← → #8376749

Radix Representation

Decimal 8376723
Binary 11111111101000110010011 (23 bits)
Octal 0o37750623
Hexadecimal 0x7FD193

Divisor Catalog (12)

1 3 9 27 557 1,671 5,013 15,039 310,249 930,747 2,792,241 8,376,723

Collatz Trajectory (124 steps to reach 1)

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

8,376,723 25,130,170 12,565,085 37,695,256 18,847,628 9,423,814 4,711,907 14,135,722 7,067,861 21,203,584 10,601,792 5,300,896 2,650,448 1,325,224 662,612 331,306 165,653 496,960 248,480 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

More profiles

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