λ
Modular Archive

770,520

23 × 3 × 5 × 6421
Abundant Even Composite

The decimal integer 770,520 is 10111100000111011000 in binary (20 bits), 2740730 in octal and BC1D8 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 6421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,311,920
Proper Divisor Sum 1,541,400
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #770519 ← → #770527

Radix Representation

Decimal 770520
Binary 10111100000111011000 (20 bits)
Octal 0o2740730
Hexadecimal 0xBC1D8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6,421 12,842 19,263 25,684 32,105 38,526 51,368 64,210 77,052 96,315 128,420 154,104 192,630 256,840 385,260 770,520

Collatz Trajectory (193 steps to reach 1)

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

770,520 385,260 192,630 96,315 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815

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