437,480

2³ × 5 × 10937

437,480 is even and not a perfect square. Its factorization is 2^3 × 5 × 10937 and its 16 divisors sum to 984,420.

Prime Factor Structure

Factorization String 2^3 × 5 × 10937

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 984,420

Proper Divisor Sum 546,940

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #437473 ← → #437497

Radix Representation

Decimal	437480
Binary	1101010110011101000 (19 bits)
Octal	0o1526350
Hexadecimal	0x6ACE8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 10,937 21,874 43,748 54,685 87,496 109,370 218,740 437,480

Collatz Trajectory (125 steps to reach 1)

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

437,480 218,740 109,370 54,685 164,056 82,028 41,014 20,507 61,522 30,761 92,284 46,142 23,071 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652

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