λ
Modular Archive

5,724,321

3 × 541 × 3527
Deficient Odd Composite

The decimal integer 5,724,321 is 10101110101100010100001 in binary (23 bits), 25654241 in octal and 5758A1 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 3 × 541 × 3527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,648,704
Proper Divisor Sum 1,924,383
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5724319 ← → #5724331

Radix Representation

Decimal 5724321
Binary 10101110101100010100001 (23 bits)
Octal 0o25654241
Hexadecimal 0x5758A1

Divisor Catalog (8)

1 3 541 1,623 3,527 10,581 1,908,107 5,724,321

Collatz Trajectory (170 steps to reach 1)

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

5,724,321 17,172,964 8,586,482 4,293,241 12,879,724 6,439,862 3,219,931 9,659,794 4,829,897 14,489,692 7,244,846 3,622,423 10,867,270 5,433,635 16,300,906 8,150,453 24,451,360 12,225,680 6,112,840 3,056,420 1,528,210 764,105 2,292,316 1,146,158 573,079 1,719,238 859,619 2,578,858 1,289,429 3,868,288 1,934,144 967,072 483,536 241,768 120,884 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012

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