1,524,640

2⁵ × 5 × 13 × 733

For 1,524,640, the 48 positive divisors have a total of 3,884,328. Removing 1,524,640 leaves 2,359,688, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,884,328

Proper Divisor Sum 2,359,688

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1524637 ← → #1524641

Radix Representation

Decimal	1524640
Binary	101110100001110100000 (21 bits)
Octal	0o5641640
Hexadecimal	0x1743A0

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 733 1,040 1,466 2,080 2,932 3,665 5,864 7,330 9,529 11,728 14,660 19,058 23,456 29,320 38,116 47,645 58,640 76,232 95,290 117,280 152,464 190,580 304,928 381,160 762,320 1,524,640

Collatz Trajectory (132 steps to reach 1)

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

1,524,640 762,320 381,160 190,580 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615

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