241,360

2⁴ × 5 × 7 × 431

241,360 has digital root 7. The neighboring primes are 241343 and 241361; its proper-divisor sum differs from the starting integer by 160,096.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 642,816

Proper Divisor Sum 401,456

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #241343 ← → #241361

Radix Representation

Decimal	241360
Binary	111010111011010000 (18 bits)
Octal	0o727320
Hexadecimal	0x3AED0

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 431 560 862 1,724 2,155 3,017 3,448 4,310 6,034 6,896 8,620 12,068 15,085 17,240 24,136 30,170 34,480 48,272 60,340 120,680 241,360

Collatz Trajectory (119 steps to reach 1)

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

241,360 120,680 60,340 30,170 15,085 45,256 22,628 11,314 5,657 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 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 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534

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