373,626

2 × 3³ × 11 × 17 × 37

373,626 is even and not a perfect square. Its factorization is 2 × 3^3 × 11 × 17 × 37 and its 64 divisors sum to 984,960.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 17 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 984,960

Proper Divisor Sum 611,334

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #373621 ← → #373631

Radix Representation

Decimal	373626
Binary	1011011001101111010 (19 bits)
Octal	0o1331572
Hexadecimal	0x5B37A

Divisor Catalog (60 of 64)

1 2 3 6 9 11 17 18 22 27 33 34 37 51 54 66 74 99 102 111 153 187 198 222 297 306 333 374 407 459 561 594 629 666 814 918 999 1,122 1,221 1,258 1,683 1,887 1,998 2,442 3,366 3,663 3,774 5,049 5,661 6,919 7,326 10,098 10,989 11,322 13,838 16,983 20,757 21,978 33,966 41,514

Collatz Trajectory (135 steps to reach 1)

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

373,626 186,813 560,440 280,220 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374

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