λ
Sigma Notebook

646,760

23 × 5 × 19 × 23 × 37
Abundant Even Composite

646,760 is even and not a perfect square. Its factorization is 2^3 × 5 × 19 × 23 × 37 and its 64 divisors sum to 1,641,600.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 23 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,641,600
Proper Divisor Sum 994,840
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #646757 ← → #646771

Radix Representation

Decimal 646760
Binary 10011101111001101000 (20 bits)
Octal 0o2357150
Hexadecimal 0x9DE68

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 23 37 38 40 46 74 76 92 95 115 148 152 184 185 190 230 296 370 380 437 460 703 740 760 851 874 920 1,406 1,480 1,702 1,748 2,185 2,812 3,404 3,496 3,515 4,255 4,370 5,624 6,808 7,030 8,510 8,740 14,060 16,169 17,020 17,480 28,120 32,338 34,040 64,676 80,845

Collatz Trajectory (141 steps to reach 1)

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

646,760 323,380 161,690 80,845 242,536 121,268 60,634 30,317 90,952 45,476 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623

More profiles

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