λ
Harmonic Matrix

2,041,360

24 × 5 × 17 × 19 × 79
Abundant Even Composite

2,041,360 has digital root 7. The neighboring primes are 2041307 and 2041363; its proper-divisor sum differs from the starting integer by 1,274,080.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 19 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 5,356,800
Proper Divisor Sum 3,315,440
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2041307 ← → #2041363

Radix Representation

Decimal 2041360
Binary 111110010011000010000 (21 bits)
Octal 0o7623020
Hexadecimal 0x1F2610

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 79 80 85 95 136 152 158 170 190 272 304 316 323 340 380 395 632 646 680 760 790 1,264 1,292 1,343 1,360 1,501 1,520 1,580 1,615 2,584 2,686 3,002 3,160 3,230 5,168 5,372 6,004 6,320 6,460 6,715 7,505 10,744 12,008 12,920 13,430

Collatz Trajectory (153 steps to reach 1)

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

2,041,360 1,020,680 510,340 255,170 127,585 382,756 191,378 95,689 287,068 143,534 71,767 215,302 107,651 322,954 161,477 484,432 242,216 121,108 60,554 30,277 90,832 45,416 22,708 11,354 5,677 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

More profiles

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