λ
Harmonic Matrix

5,340,689

5340689
Deficient Odd Prime

5,340,689 has digital root 8. The neighboring primes are 5340679 and 5340707; its proper-divisor sum differs from the starting integer by -5,340,688.

Prime Factor Structure

Factorization String 5340689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,340,690
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5340679 ← → #5340707

Radix Representation

Decimal 5340689
Binary 10100010111111000010001 (23 bits)
Octal 0o24277021
Hexadecimal 0x517E11

Divisor Catalog (2)

Collatz Trajectory (170 steps to reach 1)

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

5,340,689 16,022,068 8,011,034 4,005,517 12,016,552 6,008,276 3,004,138 1,502,069 4,506,208 2,253,104 1,126,552 563,276 281,638 140,819 422,458 211,229 633,688 316,844 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255

More profiles

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