λ
Harmonic Matrix

3,128,761

3128761
Deficient Odd Prime

3,128,761 has digital root 1. The neighboring primes are 3128747 and 3128767; its proper-divisor sum differs from the starting integer by -3,128,760.

Prime Factor Structure

Factorization String 3128761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,128,762
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3128747 ← → #3128767

Radix Representation

Decimal 3128761
Binary 1011111011110110111001 (22 bits)
Octal 0o13736671
Hexadecimal 0x2FBDB9

Divisor Catalog (2)

Collatz Trajectory (76 steps to reach 1)

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

3,128,761 9,386,284 4,693,142 2,346,571 7,039,714 3,519,857 10,559,572 5,279,786 2,639,893 7,919,680 3,959,840 1,979,920 989,960 494,980 247,490 123,745 371,236 185,618 92,809 278,428 139,214 69,607 208,822 104,411 313,234 156,617 469,852 234,926 117,463 352,390 176,195 528,586 264,293 792,880 396,440 198,220 99,110 49,555 148,666 74,333 223,000 111,500 55,750 27,875 83,626 41,813 125,440 62,720 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92

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