λ
Harmonic Matrix

9,722,322

2 × 33 × 180043
Abundant Even Composite

9,722,322 has digital root 9. The neighboring primes are 9722309 and 9722329; its proper-divisor sum differs from the starting integer by 2,160,636.

Prime Factor Structure

Factorization String 2 × 3^3 × 180043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,605,280
Proper Divisor Sum 11,882,958
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9722309 ← → #9722329

Radix Representation

Decimal 9722322
Binary 100101000101100111010010 (24 bits)
Octal 0o45054722
Hexadecimal 0x9459D2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 180,043 360,086 540,129 1,080,258 1,620,387 3,240,774 4,861,161 9,722,322

Collatz Trajectory (225 steps to reach 1)

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

9,722,322 4,861,161 14,583,484 7,291,742 3,645,871 10,937,614 5,468,807 16,406,422 8,203,211 24,609,634 12,304,817 36,914,452 18,457,226 9,228,613 27,685,840 13,842,920 6,921,460 3,460,730 1,730,365 5,191,096 2,595,548 1,297,774 648,887 1,946,662 973,331 2,919,994 1,459,997 4,379,992 2,189,996 1,094,998 547,499 1,642,498 821,249 2,463,748 1,231,874 615,937 1,847,812 923,906 461,953 1,385,860 692,930 346,465 1,039,396 519,698 259,849 779,548 389,774 194,887 584,662 292,331 876,994 438,497 1,315,492 657,746 328,873 986,620 493,310 246,655 739,966 369,983

More profiles

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