λ
Sigma Notebook

9,486,715

5 × 7 × 47 × 73 × 79
Deficient Odd Composite

9,486,715 is odd and not a perfect square. Its factorization is 5 × 7 × 47 × 73 × 79 and its 32 divisors sum to 13,639,680.

Prime Factor Structure

Factorization String 5 × 7 × 47 × 73 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,639,680
Proper Divisor Sum 4,152,965
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9486707 ← → #9486733

Radix Representation

Decimal 9486715
Binary 100100001100000101111011 (24 bits)
Octal 0o44140573
Hexadecimal 0x90C17B

Divisor Catalog (32)

1 5 7 35 47 73 79 235 329 365 395 511 553 1,645 2,555 2,765 3,431 3,713 5,767 17,155 18,565 24,017 25,991 28,835 40,369 120,085 129,955 201,845 271,049 1,355,245 1,897,343 9,486,715

Collatz Trajectory (313 steps to reach 1)

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

9,486,715 28,460,146 14,230,073 42,690,220 21,345,110 10,672,555 32,017,666 16,008,833 48,026,500 24,013,250 12,006,625 36,019,876 18,009,938 9,004,969 27,014,908 13,507,454 6,753,727 20,261,182 10,130,591 30,391,774 15,195,887 45,587,662 22,793,831 68,381,494 34,190,747 102,572,242 51,286,121 153,858,364 76,929,182 38,464,591 115,393,774 57,696,887 173,090,662 86,545,331 259,635,994 129,817,997 389,453,992 194,726,996 97,363,498 48,681,749 146,045,248 73,022,624 36,511,312 18,255,656 9,127,828 4,563,914 2,281,957 6,845,872 3,422,936 1,711,468 855,734 427,867 1,283,602 641,801 1,925,404 962,702 481,351 1,444,054 722,027 2,166,082

More profiles

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