λ
Harmonic Matrix

9,713,030

2 × 5 × 61 × 15923
Deficient Even Composite

9,713,030 has digital root 5. The neighboring primes are 9713021 and 9713059; its proper-divisor sum differs from the starting integer by -1,654,876.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 15923
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,771,184
Proper Divisor Sum 8,058,154
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9713021 ← → #9713059

Radix Representation

Decimal 9713030
Binary 100101000011010110000110 (24 bits)
Octal 0o45032606
Hexadecimal 0x943586

Divisor Catalog (16)

1 2 5 10 61 122 305 610 15,923 31,846 79,615 159,230 971,303 1,942,606 4,856,515 9,713,030

Collatz Trajectory (119 steps to reach 1)

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

9,713,030 4,856,515 14,569,546 7,284,773 21,854,320 10,927,160 5,463,580 2,731,790 1,365,895 4,097,686 2,048,843 6,146,530 3,073,265 9,219,796 4,609,898 2,304,949 6,914,848 3,457,424 1,728,712 864,356 432,178 216,089 648,268 324,134 162,067 486,202 243,101 729,304 364,652 182,326 91,163 273,490 136,745 410,236 205,118 102,559 307,678 153,839 461,518 230,759 692,278 346,139 1,038,418 519,209 1,557,628 778,814 389,407 1,168,222 584,111 1,752,334 876,167 2,628,502 1,314,251 3,942,754 1,971,377 5,914,132 2,957,066 1,478,533 4,435,600 2,217,800

More profiles

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