λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,138,684

4,138,684

22 × 112 × 17 × 503
Abundant Even Composite

4,138,684 factors as 2^2 × 11^2 × 17 × 503. Its 36 positive divisors give a proper-divisor sum of 4,307,348, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 17 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,446,032
Proper Divisor Sum 4,307,348
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4138681 ← → #4138691

Radix Representation

Decimal 4138684
Binary 1111110010011010111100 (22 bits)
Octal 0o17623274
Hexadecimal 0x3F26BC

Divisor Catalog (36)

1 2 4 11 17 22 34 44 68 121 187 242 374 484 503 748 1,006 2,012 2,057 4,114 5,533 8,228 8,551 11,066 17,102 22,132 34,204 60,863 94,061 121,726 188,122 243,452 376,244 1,034,671 2,069,342 4,138,684

Collatz Trajectory (136 steps to reach 1)

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

4,138,684 2,069,342 1,034,671 3,104,014 1,552,007 4,656,022 2,328,011 6,984,034 3,492,017 10,476,052 5,238,026 2,619,013 7,857,040 3,928,520 1,964,260 982,130 491,065 1,473,196 736,598 368,299 1,104,898 552,449 1,657,348 828,674 414,337 1,243,012 621,506 310,753 932,260 466,130 233,065 699,196 349,598 174,799 524,398 262,199 786,598 393,299 1,179,898 589,949 1,769,848 884,924 442,462 221,231 663,694 331,847 995,542 497,771 1,493,314 746,657 2,239,972 1,119,986 559,993 1,679,980 839,990 419,995 1,259,986 629,993 1,889,980 944,990

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,138,683 Browse Full Index Next Integer #4,138,685 →