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Atlas › Integer Profiles › Node 1,828,992

1,828,992

27 × 3 × 11 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 11 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,312,160
Proper Divisor Sum 3,483,168
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1828973 ← → #1828993

Radix Representation

Decimal 1828992
Binary 110111110100010000000 (21 bits)
Octal 0o6764200
Hexadecimal 0x1BE880

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 433 528 704 866 1,056 1,299 1,408 1,732 2,112 2,598 3,464 4,224 4,763 5,196 6,928 9,526 10,392 13,856 14,289 19,052 20,784 27,712 28,578 38,104 41,568 55,424 57,156 76,208 83,136 114,312 152,416 166,272 228,624 304,832

Collatz Trajectory (39 steps to reach 1)

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

1,828,992 914,496 457,248 228,624 114,312 57,156 28,578 14,289 42,868 21,434 10,717 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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