λ
Sigma Notebook

3,648,523

17 × 157 × 1367
Deficient Odd Composite

3,648,523 is odd and not a perfect square. Its factorization is 17 × 157 × 1367 and its 8 divisors sum to 3,890,592.

Prime Factor Structure

Factorization String 17 × 157 × 1367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,890,592
Proper Divisor Sum 242,069
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3648521 ← → #3648527

Radix Representation

Decimal 3648523
Binary 1101111010110000001011 (22 bits)
Octal 0o15726013
Hexadecimal 0x37AC0B

Divisor Catalog (8)

1 17 157 1,367 2,669 23,239 214,619 3,648,523

Collatz Trajectory (190 steps to reach 1)

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

3,648,523 10,945,570 5,472,785 16,418,356 8,209,178 4,104,589 12,313,768 6,156,884 3,078,442 1,539,221 4,617,664 2,308,832 1,154,416 577,208 288,604 144,302 72,151 216,454 108,227 324,682 162,341 487,024 243,512 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111

More profiles

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