484,120

2³ × 5 × 7² × 13 × 19

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,436,400

Proper Divisor Sum 952,280

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #484117 ← → #484123

Radix Representation

Decimal	484120
Binary	1110110001100011000 (19 bits)
Octal	0o1661430
Hexadecimal	0x76318

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 49 52 56 65 70 76 91 95 98 104 130 133 140 152 182 190 196 245 247 260 266 280 364 380 392 455 490 494 520 532 637 665 728 760 910 931 980 988 1,064 1,235 1,274 1,330 1,729 1,820

Collatz Trajectory (213 steps to reach 1)

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

484,120 242,060 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431

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