λ
Harmonic Matrix

9,770,322

2 × 3 × 1628387
Abundant Even Composite

9,770,322 has digital root 3. The neighboring primes are 9770311 and 9770329; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1628387
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,540,656
Proper Divisor Sum 9,770,334
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9770311 ← → #9770329

Radix Representation

Decimal 9770322
Binary 100101010001010101010010 (24 bits)
Octal 0o45212522
Hexadecimal 0x951552

Divisor Catalog (8)

1 2 3 6 1,628,387 3,256,774 4,885,161 9,770,322

Collatz Trajectory (207 steps to reach 1)

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

9,770,322 4,885,161 14,655,484 7,327,742 3,663,871 10,991,614 5,495,807 16,487,422 8,243,711 24,731,134 12,365,567 37,096,702 18,548,351 55,645,054 27,822,527 83,467,582 41,733,791 125,201,374 62,600,687 187,802,062 93,901,031 281,703,094 140,851,547 422,554,642 211,277,321 633,831,964 316,915,982 158,457,991 475,373,974 237,686,987 713,060,962 356,530,481 1,069,591,444 534,795,722 267,397,861 802,193,584 401,096,792 200,548,396 100,274,198 50,137,099 150,411,298 75,205,649 225,616,948 112,808,474 56,404,237 169,212,712 84,606,356 42,303,178 21,151,589 63,454,768 31,727,384 15,863,692 7,931,846 3,965,923 11,897,770 5,948,885 17,846,656 8,923,328 4,461,664 2,230,832

More profiles

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