λ
Harmonic Matrix

5,462,328

23 × 3 × 227597
Abundant Even Composite

5,462,328 has digital root 3. The neighboring primes are 5462311 and 5462341; its proper-divisor sum differs from the starting integer by 2,731,224.

Prime Factor Structure

Factorization String 2^3 × 3 × 227597
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,655,880
Proper Divisor Sum 8,193,552
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5462311 ← → #5462341

Radix Representation

Decimal 5462328
Binary 10100110101100100111000 (23 bits)
Octal 0o24654470
Hexadecimal 0x535938

Divisor Catalog (16)

1 2 3 4 6 8 12 24 227,597 455,194 682,791 910,388 1,365,582 1,820,776 2,731,164 5,462,328

Collatz Trajectory (108 steps to reach 1)

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

5,462,328 2,731,164 1,365,582 682,791 2,048,374 1,024,187 3,072,562 1,536,281 4,608,844 2,304,422 1,152,211 3,456,634 1,728,317 5,184,952 2,592,476 1,296,238 648,119 1,944,358 972,179 2,916,538 1,458,269 4,374,808 2,187,404 1,093,702 546,851 1,640,554 820,277 2,460,832 1,230,416 615,208 307,604 153,802 76,901 230,704 115,352 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776

More profiles

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