λ
Harmonic Matrix

5,340,014

2 × 739 × 3613
Deficient Even Composite

5,340,014 has digital root 8. The neighboring primes are 5339993 and 5340017; its proper-divisor sum differs from the starting integer by -2,656,948.

Prime Factor Structure

Factorization String 2 × 739 × 3613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,023,080
Proper Divisor Sum 2,683,066
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5339993 ← → #5340017

Radix Representation

Decimal 5340014
Binary 10100010111101101101110 (23 bits)
Octal 0o24275556
Hexadecimal 0x517B6E

Divisor Catalog (8)

1 2 739 1,478 3,613 7,226 2,670,007 5,340,014

Collatz Trajectory (100 steps to reach 1)

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

5,340,014 2,670,007 8,010,022 4,005,011 12,015,034 6,007,517 18,022,552 9,011,276 4,505,638 2,252,819 6,758,458 3,379,229 10,137,688 5,068,844 2,534,422 1,267,211 3,801,634 1,900,817 5,702,452 2,851,226 1,425,613 4,276,840 2,138,420 1,069,210 534,605 1,603,816 801,908 400,954 200,477 601,432 300,716 150,358 75,179 225,538 112,769 338,308 169,154 84,577 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871

More profiles

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