437,526

2 × 3² × 109 × 223

437,526 has digital root 9. The neighboring primes are 437519 and 437527; its proper-divisor sum differs from the starting integer by 85,908.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 960,960

Proper Divisor Sum 523,434

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #437519 ← → #437527

Radix Representation

Decimal	437526
Binary	1101010110100010110 (19 bits)
Octal	0o1526426
Hexadecimal	0x6AD16

Divisor Catalog (24)

1 2 3 6 9 18 109 218 223 327 446 654 669 981 1,338 1,962 2,007 4,014 24,307 48,614 72,921 145,842 218,763 437,526

Collatz Trajectory (68 steps to reach 1)

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

437,526 218,763 656,290 328,145 984,436 492,218 246,109 738,328 369,164 184,582 92,291 276,874 138,437 415,312 207,656 103,828 51,914 25,957 77,872 38,936 19,468 9,734 4,867 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80

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