λ
Harmonic Matrix

3,109,040

24 × 5 × 11 × 3533
Abundant Even Composite

3,109,040 has digital root 8. The neighboring primes are 3109031 and 3109069; its proper-divisor sum differs from the starting integer by 1,669,808.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 3533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,887,888
Proper Divisor Sum 4,778,848
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3109031 ← → #3109069

Radix Representation

Decimal 3109040
Binary 1011110111000010110000 (22 bits)
Octal 0o13670260
Hexadecimal 0x2F70B0

Divisor Catalog (40)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3,533 7,066 14,132 17,665 28,264 35,330 38,863 56,528 70,660 77,726 141,320 155,452 194,315 282,640 310,904 388,630 621,808 777,260 1,554,520 3,109,040

Collatz Trajectory (120 steps to reach 1)

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

3,109,040 1,554,520 777,260 388,630 194,315 582,946 291,473 874,420 437,210 218,605 655,816 327,908 163,954 81,977 245,932 122,966 61,483 184,450 92,225 276,676 138,338 69,169 207,508 103,754 51,877 155,632 77,816 38,908 19,454 9,727 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422 166,211 498,634 249,317 747,952 373,976 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331

More profiles

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