λ
Harmonic Matrix

7,165,483

13 × 17 × 32423
Deficient Odd Composite

7,165,483 has digital root 7. The neighboring primes are 7165471 and 7165493; its proper-divisor sum differs from the starting integer by -6,160,118.

Prime Factor Structure

Factorization String 13 × 17 × 32423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,170,848
Proper Divisor Sum 1,005,365
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7165471 ← → #7165493

Radix Representation

Decimal 7165483
Binary 11011010101011000101011 (23 bits)
Octal 0o33253053
Hexadecimal 0x6D562B

Divisor Catalog (8)

1 13 17 221 32,423 421,499 551,191 7,165,483

Collatz Trajectory (98 steps to reach 1)

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

7,165,483 21,496,450 10,748,225 32,244,676 16,122,338 8,061,169 24,183,508 12,091,754 6,045,877 18,137,632 9,068,816 4,534,408 2,267,204 1,133,602 566,801 1,700,404 850,202 425,101 1,275,304 637,652 318,826 159,413 478,240 239,120 119,560 59,780 29,890 14,945 44,836 22,418 11,209 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264

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