λ
Harmonic Matrix

2,612,374

2 × 71 × 18397
Deficient Even Composite

2,612,374 has digital root 7. The neighboring primes are 2612369 and 2612377; its proper-divisor sum differs from the starting integer by -1,250,780.

Prime Factor Structure

Factorization String 2 × 71 × 18397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,973,968
Proper Divisor Sum 1,361,594
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2612369 ← → #2612377

Radix Representation

Decimal 2612374
Binary 1001111101110010010110 (22 bits)
Octal 0o11756226
Hexadecimal 0x27DC96

Divisor Catalog (8)

1 2 71 142 18,397 36,794 1,306,187 2,612,374

Collatz Trajectory (187 steps to reach 1)

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

2,612,374 1,306,187 3,918,562 1,959,281 5,877,844 2,938,922 1,469,461 4,408,384 2,204,192 1,102,096 551,048 275,524 137,762 68,881 206,644 103,322 51,661 154,984 77,492 38,746 19,373 58,120 29,060 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764

More profiles

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