λ
Harmonic Matrix

2,761,586

2 × 1380793
Deficient Even Composite

2,761,586 has digital root 8. The neighboring primes are 2761571 and 2761597; its proper-divisor sum differs from the starting integer by -1,380,790.

Prime Factor Structure

Factorization String 2 × 1380793
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,142,382
Proper Divisor Sum 1,380,796
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2761571 ← → #2761597

Radix Representation

Decimal 2761586
Binary 1010100010001101110010 (22 bits)
Octal 0o12421562
Hexadecimal 0x2A2372

Divisor Catalog (4)

1 2 1,380,793 2,761,586

Collatz Trajectory (138 steps to reach 1)

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

2,761,586 1,380,793 4,142,380 2,071,190 1,035,595 3,106,786 1,553,393 4,660,180 2,330,090 1,165,045 3,495,136 1,747,568 873,784 436,892 218,446 109,223 327,670 163,835 491,506 245,753 737,260 368,630 184,315 552,946 276,473 829,420 414,710 207,355 622,066 311,033 933,100 466,550 233,275 699,826 349,913 1,049,740 524,870 262,435 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097

More profiles

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