λ
Sigma Notebook

2,574,304

25 × 80447
Deficient Even Composite

2,574,304 is even and not a perfect square. Its factorization is 2^5 × 80447 and its 12 divisors sum to 5,068,224.

Prime Factor Structure

Factorization String 2^5 × 80447
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,068,224
Proper Divisor Sum 2,493,920
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2574289 ← → #2574311

Radix Representation

Decimal 2574304
Binary 1001110100011111100000 (22 bits)
Octal 0o11643740
Hexadecimal 0x2747E0

Divisor Catalog (12)

1 2 4 8 16 32 80,447 160,894 321,788 643,576 1,287,152 2,574,304

Collatz Trajectory (99 steps to reach 1)

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

2,574,304 1,287,152 643,576 321,788 160,894 80,447 241,342 120,671 362,014 181,007 543,022 271,511 814,534 407,267 1,221,802 610,901 1,832,704 916,352 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734

More profiles

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