λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,635,204

7,635,204

22 × 32 × 131 × 1619
Abundant Even Composite

7,635,204 factors as 2^2 × 3^2 × 131 × 1619. Its 36 positive divisors give a proper-divisor sum of 11,824,236, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131 × 1619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,459,440
Proper Divisor Sum 11,824,236
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7635191 ← → #7635217

Radix Representation

Decimal 7635204
Binary 11101001000000100000100 (23 bits)
Octal 0o35100404
Hexadecimal 0x748104

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 131 262 393 524 786 1,179 1,572 1,619 2,358 3,238 4,716 4,857 6,476 9,714 14,571 19,428 29,142 58,284 212,089 424,178 636,267 848,356 1,272,534 1,908,801 2,545,068 3,817,602 7,635,204

Collatz Trajectory (129 steps to reach 1)

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

7,635,204 3,817,602 1,908,801 5,726,404 2,863,202 1,431,601 4,294,804 2,147,402 1,073,701 3,221,104 1,610,552 805,276 402,638 201,319 603,958 301,979 905,938 452,969 1,358,908 679,454 339,727 1,019,182 509,591 1,528,774 764,387 2,293,162 1,146,581 3,439,744 1,719,872 859,936 429,968 214,984 107,492 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,635,203 Browse Full Index Next Integer #7,635,205 →