Harmonic Matrix

5,495,425

5² × 13 × 37 × 457

5,495,425 has digital root 7. The neighboring primes are 5495419 and 5495447; its proper-divisor sum differs from the starting integer by -3,437,514.

Prime Factor Structure

Factorization String 5^2 × 13 × 37 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,553,336

Proper Divisor Sum 2,057,911

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5495419 ← → #5495447

Radix Representation

Decimal	5495425
Binary	10100111101101010000001 (23 bits)
Octal	0o24755201
Hexadecimal	0x53DA81

Divisor Catalog (24)

Collatz Trajectory (232 steps to reach 1)

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

5,495,425 16,486,276 8,243,138 4,121,569 12,364,708 6,182,354 3,091,177 9,273,532 4,636,766 2,318,383 6,955,150 3,477,575 10,432,726 5,216,363 15,649,090 7,824,545 23,473,636 11,736,818 5,868,409 17,605,228 8,802,614 4,401,307 13,203,922 6,601,961 19,805,884 9,902,942 4,951,471 14,854,414 7,427,207 22,281,622 11,140,811 33,422,434 16,711,217 50,133,652 25,066,826 12,533,413 37,600,240 18,800,120 9,400,060 4,700,030 2,350,015 7,050,046 3,525,023 10,575,070 5,287,535 15,862,606 7,931,303 23,793,910 11,896,955 35,690,866 17,845,433 53,536,300 26,768,150 13,384,075 40,152,226 20,076,113 60,228,340 30,114,170 15,057,085 45,171,256

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