λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,240,180

1,240,180

22 × 5 × 59 × 1051
Abundant Even Composite

1,240,180 factors as 2^2 × 5 × 59 × 1051. Its 24 positive divisors give a proper-divisor sum of 1,410,860, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 59 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,651,040
Proper Divisor Sum 1,410,860
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1240159 ← → #1240181

Radix Representation

Decimal 1240180
Binary 100101110110001110100 (21 bits)
Octal 0o4566164
Hexadecimal 0x12EC74

Divisor Catalog (24)

1 2 4 5 10 20 59 118 236 295 590 1,051 1,180 2,102 4,204 5,255 10,510 21,020 62,009 124,018 248,036 310,045 620,090 1,240,180

Collatz Trajectory (173 steps to reach 1)

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

1,240,180 620,090 310,045 930,136 465,068 232,534 116,267 348,802 174,401 523,204 261,602 130,801 392,404 196,202 98,101 294,304 147,152 73,576 36,788 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,240,179 Browse Full Index Next Integer #1,240,181 →