λ
Sigma Notebook

6,632,717

7 × 13 × 23 × 3169
Deficient Odd Composite

6,632,717 is odd and not a perfect square. Its factorization is 7 × 13 × 23 × 3169 and its 16 divisors sum to 8,520,960.

Prime Factor Structure

Factorization String 7 × 13 × 23 × 3169
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,520,960
Proper Divisor Sum 1,888,243
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6632711 ← → #6632723

Radix Representation

Decimal 6632717
Binary 11001010011010100001101 (23 bits)
Octal 0o31232415
Hexadecimal 0x65350D

Divisor Catalog (16)

1 7 13 23 91 161 299 2,093 3,169 22,183 41,197 72,887 288,379 510,209 947,531 6,632,717

Collatz Trajectory (116 steps to reach 1)

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

6,632,717 19,898,152 9,949,076 4,974,538 2,487,269 7,461,808 3,730,904 1,865,452 932,726 466,363 1,399,090 699,545 2,098,636 1,049,318 524,659 1,573,978 786,989 2,360,968 1,180,484 590,242 295,121 885,364 442,682 221,341 664,024 332,012 166,006 83,003 249,010 124,505 373,516 186,758 93,379 280,138 140,069 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018

More profiles

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