λ
Harmonic Matrix

7,173,220

22 × 5 × 59 × 6079
Abundant Even Composite

7,173,220 has digital root 4. The neighboring primes are 7173209 and 7173233; its proper-divisor sum differs from the starting integer by 975,160.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 6079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,321,600
Proper Divisor Sum 8,148,380
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7173209 ← → #7173233

Radix Representation

Decimal 7173220
Binary 11011010111010001100100 (23 bits)
Octal 0o33272144
Hexadecimal 0x6D7464

Divisor Catalog (24)

1 2 4 5 10 20 59 118 236 295 590 1,180 6,079 12,158 24,316 30,395 60,790 121,580 358,661 717,322 1,434,644 1,793,305 3,586,610 7,173,220

Collatz Trajectory (147 steps to reach 1)

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

7,173,220 3,586,610 1,793,305 5,379,916 2,689,958 1,344,979 4,034,938 2,017,469 6,052,408 3,026,204 1,513,102 756,551 2,269,654 1,134,827 3,404,482 1,702,241 5,106,724 2,553,362 1,276,681 3,830,044 1,915,022 957,511 2,872,534 1,436,267 4,308,802 2,154,401 6,463,204 3,231,602 1,615,801 4,847,404 2,423,702 1,211,851 3,635,554 1,817,777 5,453,332 2,726,666 1,363,333 4,090,000 2,045,000 1,022,500 511,250 255,625 766,876 383,438 191,719 575,158 287,579 862,738 431,369 1,294,108 647,054 323,527 970,582 485,291 1,455,874 727,937 2,183,812 1,091,906 545,953 1,637,860

More profiles

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