λ
Sigma Notebook

2,153,379

3 × 199 × 3607
Deficient Odd Composite

2,153,379 is odd and not a perfect square. Its factorization is 3 × 199 × 3607 and its 8 divisors sum to 2,886,400.

Prime Factor Structure

Factorization String 3 × 199 × 3607
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,886,400
Proper Divisor Sum 733,021
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2153377 ← → #2153387

Radix Representation

Decimal 2153379
Binary 1000001101101110100011 (22 bits)
Octal 0o10155643
Hexadecimal 0x20DBA3

Divisor Catalog (8)

1 3 199 597 3,607 10,821 717,793 2,153,379

Collatz Trajectory (73 steps to reach 1)

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

2,153,379 6,460,138 3,230,069 9,690,208 4,845,104 2,422,552 1,211,276 605,638 302,819 908,458 454,229 1,362,688 681,344 340,672 170,336 85,168 42,584 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

More profiles

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