λ
Harmonic Matrix

1,946,720

25 × 5 × 233
Abundant Even Composite

1,946,720 has digital root 2. The neighboring primes are 1946713 and 1946723; its proper-divisor sum differs from the starting integer by 914,720.

Prime Factor Structure

Factorization String 2^5 × 5 × 23^3
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,808,160
Proper Divisor Sum 2,861,440
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1946713 ← → #1946723

Radix Representation

Decimal 1946720
Binary 111011011010001100000 (21 bits)
Octal 0o7332140
Hexadecimal 0x1DB460

Divisor Catalog (48)

1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1,058 1,840 2,116 2,645 3,680 4,232 5,290 8,464 10,580 12,167 16,928 21,160 24,334 42,320 48,668 60,835 84,640 97,336 121,670 194,672 243,340 389,344 486,680 973,360 1,946,720

Collatz Trajectory (65 steps to reach 1)

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

1,946,720 973,360 486,680 243,340 121,670 60,835 182,506 91,253 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

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