λ
Harmonic Matrix

7,280,065

5 × 13 × 47 × 2383
Deficient Odd Composite

7,280,065 has digital root 1. The neighboring primes are 7280051 and 7280089; its proper-divisor sum differs from the starting integer by -4,947,842.

Prime Factor Structure

Factorization String 5 × 13 × 47 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,612,288
Proper Divisor Sum 2,332,223
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7280051 ← → #7280089

Radix Representation

Decimal 7280065
Binary 11011110001010111000001 (23 bits)
Octal 0o33612701
Hexadecimal 0x6F15C1

Divisor Catalog (16)

1 5 13 47 65 235 611 2,383 3,055 11,915 30,979 112,001 154,895 560,005 1,456,013 7,280,065

Collatz Trajectory (67 steps to reach 1)

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

7,280,065 21,840,196 10,920,098 5,460,049 16,380,148 8,190,074 4,095,037 12,285,112 6,142,556 3,071,278 1,535,639 4,606,918 2,303,459 6,910,378 3,455,189 10,365,568 5,182,784 2,591,392 1,295,696 647,848 323,924 161,962 80,981 242,944 121,472 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

More profiles

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