λ
Ratio Atlas

9,685,379

11 × 37 × 53 × 449
Deficient Odd Composite

9,685,379 factors as 11 × 37 × 53 × 449. Its 16 positive divisors give a proper-divisor sum of 1,395,421, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 11 × 37 × 53 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,080,800
Proper Divisor Sum 1,395,421
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9685349 ← → #9685387

Radix Representation

Decimal 9685379
Binary 100100111100100110000011 (24 bits)
Octal 0o44744603
Hexadecimal 0x93C983

Divisor Catalog (16)

1 11 37 53 407 449 583 1,961 4,939 16,613 21,571 23,797 182,743 261,767 880,489 9,685,379

Collatz Trajectory (114 steps to reach 1)

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

9,685,379 29,056,138 14,528,069 43,584,208 21,792,104 10,896,052 5,448,026 2,724,013 8,172,040 4,086,020 2,043,010 1,021,505 3,064,516 1,532,258 766,129 2,298,388 1,149,194 574,597 1,723,792 861,896 430,948 215,474 107,737 323,212 161,606 80,803 242,410 121,205 363,616 181,808 90,904 45,452 22,726 11,363 34,090 17,045 51,136 25,568 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709

More profiles

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