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Atlas › Integer Profiles › Node 28,296,380

28,296,380

22 × 5 × 7 × 359 × 563
Abundant Even Composite

28,296,380 factors as 2^2 × 5 × 7 × 359 × 563. Its 48 positive divisors give a proper-divisor sum of 39,925,060, so this integer is abundant. The Collatz stopping time is 299 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 359 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 68,221,440
Proper Divisor Sum 39,925,060
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #28296361 ← → #28296403

Radix Representation

Decimal 28296380
Binary 1101011111100010010111100 (25 bits)
Octal 0o153742274
Hexadecimal 0x1AFC4BC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 359 563 718 1,126 1,436 1,795 2,252 2,513 2,815 3,590 3,941 5,026 5,630 7,180 7,882 10,052 11,260 12,565 15,764 19,705 25,130 39,410 50,260 78,820 202,117 404,234 808,468 1,010,585 1,414,819 2,021,170 2,829,638 4,042,340 5,659,276 7,074,095 14,148,190 28,296,380

Collatz Trajectory (299 steps to reach 1)

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

28,296,380 14,148,190 7,074,095 21,222,286 10,611,143 31,833,430 15,916,715 47,750,146 23,875,073 71,625,220 35,812,610 17,906,305 53,718,916 26,859,458 13,429,729 40,289,188 20,144,594 10,072,297 30,216,892 15,108,446 7,554,223 22,662,670 11,331,335 33,994,006 16,997,003 50,991,010 25,495,505 76,486,516 38,243,258 19,121,629 57,364,888 28,682,444 14,341,222 7,170,611 21,511,834 10,755,917 32,267,752 16,133,876 8,066,938 4,033,469 12,100,408 6,050,204 3,025,102 1,512,551 4,537,654 2,268,827 6,806,482 3,403,241 10,209,724 5,104,862 2,552,431 7,657,294 3,828,647 11,485,942 5,742,971 17,228,914 8,614,457 25,843,372 12,921,686 6,460,843

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