λ
Harmonic Matrix

2,612,102

2 × 1306051
Deficient Even Composite

2,612,102 has digital root 5. The neighboring primes are 2612083 and 2612123; its proper-divisor sum differs from the starting integer by -1,306,048.

Prime Factor Structure

Factorization String 2 × 1306051
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,918,156
Proper Divisor Sum 1,306,054
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2612083 ← → #2612123

Radix Representation

Decimal 2612102
Binary 1001111101101110000110 (22 bits)
Octal 0o11755606
Hexadecimal 0x27DB86

Divisor Catalog (4)

1 2 1,306,051 2,612,102

Collatz Trajectory (125 steps to reach 1)

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

2,612,102 1,306,051 3,918,154 1,959,077 5,877,232 2,938,616 1,469,308 734,654 367,327 1,101,982 550,991 1,652,974 826,487 2,479,462 1,239,731 3,719,194 1,859,597 5,578,792 2,789,396 1,394,698 697,349 2,092,048 1,046,024 523,012 261,506 130,753 392,260 196,130 98,065 294,196 147,098 73,549 220,648 110,324 55,162 27,581 82,744 41,372 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418

More profiles

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