λ
Prime Ledger

5,504,988

22 × 3 × 41 × 67 × 167
Abundant Even Composite

5,504,988 has the prime decomposition 2^2 × 3 × 41 × 67 × 167. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 67 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,434,624
Proper Divisor Sum 7,929,636
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5504987 ← → #5505001

Radix Representation

Decimal 5504988
Binary 10100111111111111011100 (23 bits)
Octal 0o24777734
Hexadecimal 0x53FFDC

Divisor Catalog (48)

1 2 3 4 6 12 41 67 82 123 134 164 167 201 246 268 334 402 492 501 668 804 1,002 2,004 2,747 5,494 6,847 8,241 10,988 11,189 13,694 16,482 20,541 22,378 27,388 32,964 33,567 41,082 44,756 67,134 82,164 134,268 458,749 917,498 1,376,247 1,834,996 2,752,494 5,504,988

Collatz Trajectory (201 steps to reach 1)

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

5,504,988 2,752,494 1,376,247 4,128,742 2,064,371 6,193,114 3,096,557 9,289,672 4,644,836 2,322,418 1,161,209 3,483,628 1,741,814 870,907 2,612,722 1,306,361 3,919,084 1,959,542 979,771 2,939,314 1,469,657 4,408,972 2,204,486 1,102,243 3,306,730 1,653,365 4,960,096 2,480,048 1,240,024 620,012 310,006 155,003 465,010 232,505 697,516 348,758 174,379 523,138 261,569 784,708 392,354 196,177 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526 82,763 248,290 124,145 372,436 186,218 93,109 279,328 139,664 69,832 34,916

More profiles

← Previous Integer #5,504,987 Browse Full Index Next Integer #5,504,989 →