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Atlas › Integer Profiles › Node 9,706,064

9,706,064

24 × 47 × 12907
Deficient Even Composite

9,706,064 factors as 2^4 × 47 × 12907. Its 20 positive divisors give a proper-divisor sum of 9,501,040, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 12907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,207,104
Proper Divisor Sum 9,501,040
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9706063 ← → #9706087

Radix Representation

Decimal 9706064
Binary 100101000001101001010000 (24 bits)
Octal 0o45015120
Hexadecimal 0x941A50

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 12,907 25,814 51,628 103,256 206,512 606,629 1,213,258 2,426,516 4,853,032 9,706,064

Collatz Trajectory (70 steps to reach 1)

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

9,706,064 4,853,032 2,426,516 1,213,258 606,629 1,819,888 909,944 454,972 227,486 113,743 341,230 170,615 511,846 255,923 767,770 383,885 1,151,656 575,828 287,914 143,957 431,872 215,936 107,968 53,984 26,992 13,496 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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