λ
Harmonic Matrix

5,480,667

32 × 61 × 67 × 149
Deficient Odd Composite

5,480,667 has digital root 9. The neighboring primes are 5480653 and 5480669; its proper-divisor sum differs from the starting integer by -2,740,134.

Prime Factor Structure

Factorization String 3^2 × 61 × 67 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,221,200
Proper Divisor Sum 2,740,533
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5480653 ← → #5480669

Radix Representation

Decimal 5480667
Binary 10100111010000011011011 (23 bits)
Octal 0o24720333
Hexadecimal 0x53A0DB

Divisor Catalog (24)

1 3 9 61 67 149 183 201 447 549 603 1,341 4,087 9,089 9,983 12,261 27,267 29,949 36,783 81,801 89,847 608,963 1,826,889 5,480,667

Collatz Trajectory (113 steps to reach 1)

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

5,480,667 16,442,002 8,221,001 24,663,004 12,331,502 6,165,751 18,497,254 9,248,627 27,745,882 13,872,941 41,618,824 20,809,412 10,404,706 5,202,353 15,607,060 7,803,530 3,901,765 11,705,296 5,852,648 2,926,324 1,463,162 731,581 2,194,744 1,097,372 548,686 274,343 823,030 411,515 1,234,546 617,273 1,851,820 925,910 462,955 1,388,866 694,433 2,083,300 1,041,650 520,825 1,562,476 781,238 390,619 1,171,858 585,929 1,757,788 878,894 439,447 1,318,342 659,171 1,977,514 988,757 2,966,272 1,483,136 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762

More profiles

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