λ
Harmonic Matrix

40,709

40709
Deficient Odd Prime

40,709 has digital root 2. The neighboring primes are 40699 and 40739; its proper-divisor sum differs from the starting integer by -40,708.

Prime Factor Structure

Factorization String 40709
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 40,710
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #40699 ← → #40739

Radix Representation

Decimal 40709
Binary 1001111100000101 (16 bits)
Octal 0o117405
Hexadecimal 0x9F05

Divisor Catalog (2)

1 40,709

Collatz Trajectory (36 steps to reach 1)

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

40,709 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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