λ
Harmonic Matrix

7,226,479

13 × 17 × 19 × 1721
Deficient Odd Composite

7,226,479 has digital root 1. The neighboring primes are 7226467 and 7226491; its proper-divisor sum differs from the starting integer by -5,774,078.

Prime Factor Structure

Factorization String 13 × 17 × 19 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,678,880
Proper Divisor Sum 1,452,401
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7226467 ← → #7226491

Radix Representation

Decimal 7226479
Binary 11011100100010001101111 (23 bits)
Octal 0o33442157
Hexadecimal 0x6E446F

Divisor Catalog (16)

1 13 17 19 221 247 323 1,721 4,199 22,373 29,257 32,699 380,341 425,087 555,883 7,226,479

Collatz Trajectory (116 steps to reach 1)

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

7,226,479 21,679,438 10,839,719 32,519,158 16,259,579 48,778,738 24,389,369 73,168,108 36,584,054 18,292,027 54,876,082 27,438,041 82,314,124 41,157,062 20,578,531 61,735,594 30,867,797 92,603,392 46,301,696 23,150,848 11,575,424 5,787,712 2,893,856 1,446,928 723,464 361,732 180,866 90,433 271,300 135,650 67,825 203,476 101,738 50,869 152,608 76,304 38,152 19,076 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274

More profiles

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