λ
Harmonic Matrix

4,107,988

22 × 47 × 21851
Deficient Even Composite

4,107,988 has digital root 1. The neighboring primes are 4107979 and 4107991; its proper-divisor sum differs from the starting integer by -873,704.

Prime Factor Structure

Factorization String 2^2 × 47 × 21851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,342,272
Proper Divisor Sum 3,234,284
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4107979 ← → #4107991

Radix Representation

Decimal 4107988
Binary 1111101010111011010100 (22 bits)
Octal 0o17527324
Hexadecimal 0x3EAED4

Divisor Catalog (12)

1 2 4 47 94 188 21,851 43,702 87,404 1,026,997 2,053,994 4,107,988

Collatz Trajectory (167 steps to reach 1)

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

4,107,988 2,053,994 1,026,997 3,080,992 1,540,496 770,248 385,124 192,562 96,281 288,844 144,422 72,211 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062

More profiles

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