λ
Sigma Notebook

8,047,631

23 × 31 × 11287
Deficient Odd Composite

8,047,631 is odd and not a perfect square. Its factorization is 23 × 31 × 11287 and its 8 divisors sum to 8,669,184.

Prime Factor Structure

Factorization String 23 × 31 × 11287
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,669,184
Proper Divisor Sum 621,553
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8047601 ← → #8047643

Radix Representation

Decimal 8047631
Binary 11110101100110000001111 (23 bits)
Octal 0o36546017
Hexadecimal 0x7ACC0F

Divisor Catalog (8)

1 23 31 713 11,287 259,601 349,897 8,047,631

Collatz Trajectory (137 steps to reach 1)

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

8,047,631 24,142,894 12,071,447 36,214,342 18,107,171 54,321,514 27,160,757 81,482,272 40,741,136 20,370,568 10,185,284 5,092,642 2,546,321 7,638,964 3,819,482 1,909,741 5,729,224 2,864,612 1,432,306 716,153 2,148,460 1,074,230 537,115 1,611,346 805,673 2,417,020 1,208,510 604,255 1,812,766 906,383 2,719,150 1,359,575 4,078,726 2,039,363 6,118,090 3,059,045 9,177,136 4,588,568 2,294,284 1,147,142 573,571 1,720,714 860,357 2,581,072 1,290,536 645,268 322,634 161,317 483,952 241,976 120,988 60,494 30,247 90,742 45,371 136,114 68,057 204,172 102,086 51,043

More profiles

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