240,032

2⁵ × 13 × 577

240,032 has digital root 2. The neighboring primes are 240017 and 240041; its proper-divisor sum differs from the starting integer by 29,732.

Prime Factor Structure

Factorization String 2^5 × 13 × 577

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 509,796

Proper Divisor Sum 269,764

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #240017 ← → #240041

Radix Representation

Decimal	240032
Binary	111010100110100000 (18 bits)
Octal	0o724640
Hexadecimal	0x3A9A0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 577 1,154 2,308 4,616 7,501 9,232 15,002 18,464 30,004 60,008 120,016 240,032

Collatz Trajectory (181 steps to reach 1)

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

240,032 120,016 60,008 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148

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