λ
Harmonic Matrix

118,710

2 × 32 × 5 × 1319
Abundant Even Composite

118,710 has digital root 9. The neighboring primes are 118709 and 118717; its proper-divisor sum differs from the starting integer by 71,460.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 308,880
Proper Divisor Sum 190,170
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #118709 ← → #118717

Radix Representation

Decimal 118710
Binary 11100111110110110 (17 bits)
Octal 0o347666
Hexadecimal 0x1CFB6

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 1,319 2,638 3,957 6,595 7,914 11,871 13,190 19,785 23,742 39,570 59,355 118,710

Collatz Trajectory (74 steps to reach 1)

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

118,710 59,355 178,066 89,033 267,100 133,550 66,775 200,326 100,163 300,490 150,245 450,736 225,368 112,684 56,342 28,171 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

More profiles

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