λ
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932,500

22 × 54 × 373
Abundant Even Composite

932,500 factors as 2^2 × 5^4 × 373. Its 30 positive divisors give a proper-divisor sum of 1,112,158, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,044,658
Proper Divisor Sum 1,112,158
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #932497 ← → #932513

Radix Representation

Decimal 932500
Binary 11100011101010010100 (20 bits)
Octal 0o3435224
Hexadecimal 0xE3A94

Divisor Catalog (30)

1 2 4 5 10 20 25 50 100 125 250 373 500 625 746 1,250 1,492 1,865 2,500 3,730 7,460 9,325 18,650 37,300 46,625 93,250 186,500 233,125 466,250 932,500

Collatz Trajectory (139 steps to reach 1)

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

932,500 466,250 233,125 699,376 349,688 174,844 87,422 43,711 131,134 65,567 196,702 98,351 295,054 147,527 442,582 221,291 663,874 331,937 995,812 497,906 248,953 746,860 373,430 186,715 560,146 280,073 840,220 420,110 210,055 630,166 315,083 945,250 472,625 1,417,876 708,938 354,469 1,063,408 531,704 265,852 132,926 66,463 199,390 99,695 299,086 149,543 448,630 224,315 672,946 336,473 1,009,420 504,710 252,355 757,066 378,533 1,135,600 567,800 283,900 141,950 70,975 212,926

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