λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,007,688

52,007,688

23 × 32 × 563 × 1283
Abundant Even Composite

52,007,688 factors as 2^3 × 3^2 × 563 × 1283. Its 48 positive divisors give a proper-divisor sum of 89,206,632, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 563 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 141,214,320
Proper Divisor Sum 89,206,632
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52007633 ← → #52007689

Radix Representation

Decimal 52007688
Binary 11000110011001001100001000 (26 bits)
Octal 0o306311410
Hexadecimal 0x3199308

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 563 1,126 1,283 1,689 2,252 2,566 3,378 3,849 4,504 5,067 5,132 6,756 7,698 10,134 10,264 11,547 13,512 15,396 20,268 23,094 30,792 40,536 46,188 92,376 722,329 1,444,658 2,166,987 2,889,316 4,333,974 5,778,632 6,500,961 8,667,948 13,001,922 17,335,896 26,003,844 52,007,688

Collatz Trajectory (119 steps to reach 1)

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

52,007,688 26,003,844 13,001,922 6,500,961 19,502,884 9,751,442 4,875,721 14,627,164 7,313,582 3,656,791 10,970,374 5,485,187 16,455,562 8,227,781 24,683,344 12,341,672 6,170,836 3,085,418 1,542,709 4,628,128 2,314,064 1,157,032 578,516 289,258 144,629 433,888 216,944 108,472 54,236 27,118 13,559 40,678 20,339 61,018 30,509 91,528 45,764 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #52,007,687 Browse Full Index Next Integer #52,007,689 →