λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,486,436

5,486,436

22 × 32 × 257 × 593
Abundant Even Composite

5,486,436 factors as 2^2 × 3^2 × 257 × 593. Its 36 positive divisors give a proper-divisor sum of 8,459,496, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 257 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,945,932
Proper Divisor Sum 8,459,496
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5486419 ← → #5486447

Radix Representation

Decimal 5486436
Binary 10100111011011101100100 (23 bits)
Octal 0o24733544
Hexadecimal 0x53B764

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 257 514 593 771 1,028 1,186 1,542 1,779 2,313 2,372 3,084 3,558 4,626 5,337 7,116 9,252 10,674 21,348 152,401 304,802 457,203 609,604 914,406 1,371,609 1,828,812 2,743,218 5,486,436

Collatz Trajectory (108 steps to reach 1)

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

5,486,436 2,743,218 1,371,609 4,114,828 2,057,414 1,028,707 3,086,122 1,543,061 4,629,184 2,314,592 1,157,296 578,648 289,324 144,662 72,331 216,994 108,497 325,492 162,746 81,373 244,120 122,060 61,030 30,515 91,546 45,773 137,320 68,660 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 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 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,486,435 Browse Full Index Next Integer #5,486,437 →