λ
Harmonic Matrix

9,721,687

9721687
Deficient Odd Prime

9,721,687 has digital root 4. The neighboring primes are 9721667 and 9721697; its proper-divisor sum differs from the starting integer by -9,721,686.

Prime Factor Structure

Factorization String 9721687
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,721,688
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9721667 ← → #9721697

Radix Representation

Decimal 9721687
Binary 100101000101011101010111 (24 bits)
Octal 0o45053527
Hexadecimal 0x945757

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

9,721,687 29,165,062 14,582,531 43,747,594 21,873,797 65,621,392 32,810,696 16,405,348 8,202,674 4,101,337 12,304,012 6,152,006 3,076,003 9,228,010 4,614,005 13,842,016 6,921,008 3,460,504 1,730,252 865,126 432,563 1,297,690 648,845 1,946,536 973,268 486,634 243,317 729,952 364,976 182,488 91,244 45,622 22,811 68,434 34,217 102,652 51,326 25,663 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

More profiles

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