λ
Sigma Notebook

4,481,360

24 × 5 × 13 × 31 × 139
Abundant Even Composite

4,481,360 is even and not a perfect square. Its factorization is 2^4 × 5 × 13 × 31 × 139 and its 80 divisors sum to 11,665,920.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 31 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 11,665,920
Proper Divisor Sum 7,184,560
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4481339 ← → #4481363

Radix Representation

Decimal 4481360
Binary 10001000110000101010000 (23 bits)
Octal 0o21060520
Hexadecimal 0x446150

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 139 155 208 248 260 278 310 403 496 520 556 620 695 806 1,040 1,112 1,240 1,390 1,612 1,807 2,015 2,224 2,480 2,780 3,224 3,614 4,030 4,309 5,560 6,448 7,228 8,060 8,618 9,035 11,120 14,456 16,120 17,236 18,070 21,545 28,912

Collatz Trajectory (87 steps to reach 1)

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

4,481,360 2,240,680 1,120,340 560,170 280,085 840,256 420,128 210,064 105,032 52,516 26,258 13,129 39,388 19,694 9,847 29,542 14,771 44,314 22,157 66,472 33,236 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

More profiles

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