λ
Ratio Atlas

8,315,519

59 × 97 × 1453
Deficient Odd Composite

8,315,519 factors as 59 × 97 × 1453. Its 8 positive divisors give a proper-divisor sum of 234,001, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 59 × 97 × 1453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,549,520
Proper Divisor Sum 234,001
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8315513 ← → #8315543

Radix Representation

Decimal 8315519
Binary 11111101110001001111111 (23 bits)
Octal 0o37561177
Hexadecimal 0x7EE27F

Divisor Catalog (8)

Collatz Trajectory (230 steps to reach 1)

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

8,315,519 24,946,558 12,473,279 37,419,838 18,709,919 56,129,758 28,064,879 84,194,638 42,097,319 126,291,958 63,145,979 189,437,938 94,718,969 284,156,908 142,078,454 71,039,227 213,117,682 106,558,841 319,676,524 159,838,262 79,919,131 239,757,394 119,878,697 359,636,092 179,818,046 89,909,023 269,727,070 134,863,535 404,590,606 202,295,303 606,885,910 303,442,955 910,328,866 455,164,433 1,365,493,300 682,746,650 341,373,325 1,024,119,976 512,059,988 256,029,994 128,014,997 384,044,992 192,022,496 96,011,248 48,005,624 24,002,812 12,001,406 6,000,703 18,002,110 9,001,055 27,003,166 13,501,583 40,504,750 20,252,375 60,757,126 30,378,563 91,135,690 45,567,845 136,703,536 68,351,768

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