λ
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Atlas › Integer Profiles › Node 2,425,110

2,425,110

2 × 3 × 5 × 229 × 353
Abundant Even Composite

2,425,110 factors as 2 × 3 × 5 × 229 × 353. Its 32 positive divisors give a proper-divisor sum of 3,437,130, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 229 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,862,240
Proper Divisor Sum 3,437,130
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2425081 ← → #2425117

Radix Representation

Decimal 2425110
Binary 1001010000000100010110 (22 bits)
Octal 0o11200426
Hexadecimal 0x250116

Divisor Catalog (32)

1 2 3 5 6 10 15 30 229 353 458 687 706 1,059 1,145 1,374 1,765 2,118 2,290 3,435 3,530 5,295 6,870 10,590 80,837 161,674 242,511 404,185 485,022 808,370 1,212,555 2,425,110

Collatz Trajectory (205 steps to reach 1)

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

2,425,110 1,212,555 3,637,666 1,818,833 5,456,500 2,728,250 1,364,125 4,092,376 2,046,188 1,023,094 511,547 1,534,642 767,321 2,301,964 1,150,982 575,491 1,726,474 863,237 2,589,712 1,294,856 647,428 323,714 161,857 485,572 242,786 121,393 364,180 182,090 91,045 273,136 136,568 68,284 34,142 17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388

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