λ
Sigma Notebook

676,730

2 × 5 × 31 × 37 × 59
Deficient Even Composite

676,730 is even and not a perfect square. Its factorization is 2 × 5 × 31 × 37 × 59 and its 32 divisors sum to 1,313,280.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 37 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,313,280
Proper Divisor Sum 636,550
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #676727 ← → #676733

Radix Representation

Decimal 676730
Binary 10100101001101111010 (20 bits)
Octal 0o2451572
Hexadecimal 0xA537A

Divisor Catalog (32)

1 2 5 10 31 37 59 62 74 118 155 185 295 310 370 590 1,147 1,829 2,183 2,294 3,658 4,366 5,735 9,145 10,915 11,470 18,290 21,830 67,673 135,346 338,365 676,730

Collatz Trajectory (136 steps to reach 1)

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

676,730 338,365 1,015,096 507,548 253,774 126,887 380,662 190,331 570,994 285,497 856,492 428,246 214,123 642,370 321,185 963,556 481,778 240,889 722,668 361,334 180,667 542,002 271,001 813,004 406,502 203,251 609,754 304,877 914,632 457,316 228,658 114,329 342,988 171,494 85,747 257,242 128,621 385,864 192,932 96,466 48,233 144,700 72,350 36,175 108,526 54,263 162,790 81,395 244,186 122,093 366,280 183,140 91,570 45,785 137,356 68,678 34,339 103,018 51,509 154,528

More profiles

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