λ
Harmonic Matrix

2,531,176

23 × 41 × 7717
Deficient Even Composite

2,531,176 has digital root 7. The neighboring primes are 2531171 and 2531183; its proper-divisor sum differs from the starting integer by -200,012.

Prime Factor Structure

Factorization String 2^3 × 41 × 7717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,862,340
Proper Divisor Sum 2,331,164
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2531171 ← → #2531183

Radix Representation

Decimal 2531176
Binary 1001101001111101101000 (22 bits)
Octal 0o11517550
Hexadecimal 0x269F68

Divisor Catalog (16)

1 2 4 8 41 82 164 328 7,717 15,434 30,868 61,736 316,397 632,794 1,265,588 2,531,176

Collatz Trajectory (104 steps to reach 1)

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

2,531,176 1,265,588 632,794 316,397 949,192 474,596 237,298 118,649 355,948 177,974 88,987 266,962 133,481 400,444 200,222 100,111 300,334 150,167 450,502 225,251 675,754 337,877 1,013,632 506,816 253,408 126,704 63,352 31,676 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058

More profiles

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