λ
Ratio Atlas

8,120,503

61 × 239 × 557
Deficient Odd Composite

8,120,503 factors as 61 × 239 × 557. Its 8 positive divisors give a proper-divisor sum of 182,537, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 61 × 239 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,303,040
Proper Divisor Sum 182,537
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #8120491 ← → #8120527

Radix Representation

Decimal 8120503
Binary 11110111110100010110111 (23 bits)
Octal 0o36764267
Hexadecimal 0x7BE8B7

Divisor Catalog (8)

1 61 239 557 14,579 33,977 133,123 8,120,503

Collatz Trajectory (230 steps to reach 1)

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

8,120,503 24,361,510 12,180,755 36,542,266 18,271,133 54,813,400 27,406,700 13,703,350 6,851,675 20,555,026 10,277,513 30,832,540 15,416,270 7,708,135 23,124,406 11,562,203 34,686,610 17,343,305 52,029,916 26,014,958 13,007,479 39,022,438 19,511,219 58,533,658 29,266,829 87,800,488 43,900,244 21,950,122 10,975,061 32,925,184 16,462,592 8,231,296 4,115,648 2,057,824 1,028,912 514,456 257,228 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514

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