λ
Harmonic Matrix

5,480,172

22 × 32 × 191 × 797
Abundant Even Composite

5,480,172 has digital root 9. The neighboring primes are 5480143 and 5480173; its proper-divisor sum differs from the starting integer by 2,982,312.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 191 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,942,656
Proper Divisor Sum 8,462,484
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5480143 ← → #5480173

Radix Representation

Decimal 5480172
Binary 10100111001111011101100 (23 bits)
Octal 0o24717354
Hexadecimal 0x539EEC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 191 382 573 764 797 1,146 1,594 1,719 2,292 2,391 3,188 3,438 4,782 6,876 7,173 9,564 14,346 28,692 152,227 304,454 456,681 608,908 913,362 1,370,043 1,826,724 2,740,086 5,480,172

Collatz Trajectory (201 steps to reach 1)

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

5,480,172 2,740,086 1,370,043 4,110,130 2,055,065 6,165,196 3,082,598 1,541,299 4,623,898 2,311,949 6,935,848 3,467,924 1,733,962 866,981 2,600,944 1,300,472 650,236 325,118 162,559 487,678 243,839 731,518 365,759 1,097,278 548,639 1,645,918 822,959 2,468,878 1,234,439 3,703,318 1,851,659 5,554,978 2,777,489 8,332,468 4,166,234 2,083,117 6,249,352 3,124,676 1,562,338 781,169 2,343,508 1,171,754 585,877 1,757,632 878,816 439,408 219,704 109,852 54,926 27,463 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759

More profiles

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