225,552

2⁴ × 3 × 37 × 127

225,552 factors as 2^4 × 3 × 37 × 127. Its 40 positive divisors give a proper-divisor sum of 377,584, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 37 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 603,136

Proper Divisor Sum 377,584

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #225529 ← → #225569

Radix Representation

Decimal	225552
Binary	110111000100010000 (18 bits)
Octal	0o670420
Hexadecimal	0x37110

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 296 381 444 508 592 762 888 1,016 1,524 1,776 2,032 3,048 4,699 6,096 9,398 14,097 18,796 28,194 37,592 56,388 75,184 112,776 225,552

Collatz Trajectory (111 steps to reach 1)

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

225,552 112,776 56,388 28,194 14,097 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #225,551 Browse Full Index Next Integer #225,553 →