9,721,730

2 × 5 × 19² × 2693

9,721,730 has digital root 2. The neighboring primes are 9721727 and 9721759; its proper-divisor sum differs from the starting integer by -968,008.

Prime Factor Structure

Factorization String 2 × 5 × 19^2 × 2693

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,475,452

Proper Divisor Sum 8,753,722

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9721727 ← → #9721759

Radix Representation

Decimal	9721730
Binary	100101000101011110000010 (24 bits)
Octal	0o45053602
Hexadecimal	0x945782

Divisor Catalog (24)

1 2 5 10 19 38 95 190 361 722 1,805 2,693 3,610 5,386 13,465 26,930 51,167 102,334 255,835 511,670 972,173 1,944,346 4,860,865 9,721,730

Collatz Trajectory (114 steps to reach 1)

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

9,721,730 4,860,865 14,582,596 7,291,298 3,645,649 10,936,948 5,468,474 2,734,237 8,202,712 4,101,356 2,050,678 1,025,339 3,076,018 1,538,009 4,614,028 2,307,014 1,153,507 3,460,522 1,730,261 5,190,784 2,595,392 1,297,696 648,848 324,424 162,212 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666

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