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Atlas › Integer Profiles › Node 1,824,172

1,824,172

22 × 72 × 41 × 227
Abundant Even Composite

1,824,172 factors as 2^2 × 7^2 × 41 × 227. Its 36 positive divisors give a proper-divisor sum of 1,996,652, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 41 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,820,824
Proper Divisor Sum 1,996,652
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1824169 ← → #1824227

Radix Representation

Decimal 1824172
Binary 110111101010110101100 (21 bits)
Octal 0o6752654
Hexadecimal 0x1BD5AC

Divisor Catalog (36)

1 2 4 7 14 28 41 49 82 98 164 196 227 287 454 574 908 1,148 1,589 2,009 3,178 4,018 6,356 8,036 9,307 11,123 18,614 22,246 37,228 44,492 65,149 130,298 260,596 456,043 912,086 1,824,172

Collatz Trajectory (109 steps to reach 1)

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

1,824,172 912,086 456,043 1,368,130 684,065 2,052,196 1,026,098 513,049 1,539,148 769,574 384,787 1,154,362 577,181 1,731,544 865,772 432,886 216,443 649,330 324,665 973,996 486,998 243,499 730,498 365,249 1,095,748 547,874 273,937 821,812 410,906 205,453 616,360 308,180 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573

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