λ
Harmonic Matrix

5,455,489

132 × 19 × 1699
Deficient Odd Composite

5,455,489 has digital root 4. The neighboring primes are 5455481 and 5455493; its proper-divisor sum differs from the starting integer by -4,688,978.

Prime Factor Structure

Factorization String 13^2 × 19 × 1699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,222,000
Proper Divisor Sum 766,511
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5455481 ← → #5455493

Radix Representation

Decimal 5455489
Binary 10100110011111010000001 (23 bits)
Octal 0o24637201
Hexadecimal 0x533E81

Divisor Catalog (12)

1 13 19 169 247 1,699 3,211 22,087 32,281 287,131 419,653 5,455,489

Collatz Trajectory (201 steps to reach 1)

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

5,455,489 16,366,468 8,183,234 4,091,617 12,274,852 6,137,426 3,068,713 9,206,140 4,603,070 2,301,535 6,904,606 3,452,303 10,356,910 5,178,455 15,535,366 7,767,683 23,303,050 11,651,525 34,954,576 17,477,288 8,738,644 4,369,322 2,184,661 6,553,984 3,276,992 1,638,496 819,248 409,624 204,812 102,406 51,203 153,610 76,805 230,416 115,208 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771

More profiles

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