240,372

2² × 3² × 11 × 607

240,372 factors as 2^2 × 3^2 × 11 × 607. Its 36 positive divisors give a proper-divisor sum of 423,564, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 663,936

Proper Divisor Sum 423,564

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #240371 ← → #240379

Radix Representation

Decimal	240372
Binary	111010101011110100 (18 bits)
Octal	0o725364
Hexadecimal	0x3AAF4

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 607 1,214 1,821 2,428 3,642 5,463 6,677 7,284 10,926 13,354 20,031 21,852 26,708 40,062 60,093 80,124 120,186 240,372

Collatz Trajectory (67 steps to reach 1)

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

240,372 120,186 60,093 180,280 90,140 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256

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