1,522,280

2³ × 5 × 19 × 2003

For 1,522,280, the 32 positive divisors have a total of 3,607,200. Removing 1,522,280 leaves 2,084,920, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 2003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,607,200

Proper Divisor Sum 2,084,920

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1522253 ← → #1522321

Radix Representation

Decimal	1522280
Binary	101110011101001101000 (21 bits)
Octal	0o5635150
Hexadecimal	0x173A68

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2,003 4,006 8,012 10,015 16,024 20,030 38,057 40,060 76,114 80,120 152,228 190,285 304,456 380,570 761,140 1,522,280

Collatz Trajectory (225 steps to reach 1)

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

1,522,280 761,140 380,570 190,285 570,856 285,428 142,714 71,357 214,072 107,036 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732

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