λ
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Atlas › Integer Profiles › Node 2,603,216

2,603,216

24 × 7 × 11 × 2113
Abundant Even Composite

2,603,216 factors as 2^4 × 7 × 11 × 2113. Its 40 positive divisors give a proper-divisor sum of 3,688,048, so this integer is abundant. The Collatz stopping time is 42 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 2113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,291,264
Proper Divisor Sum 3,688,048
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2603143 ← → #2603219

Radix Representation

Decimal 2603216
Binary 1001111011100011010000 (22 bits)
Octal 0o11734320
Hexadecimal 0x27B8D0

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 2,113 4,226 8,452 14,791 16,904 23,243 29,582 33,808 46,486 59,164 92,972 118,328 162,701 185,944 236,656 325,402 371,888 650,804 1,301,608 2,603,216

Collatz Trajectory (42 steps to reach 1)

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

2,603,216 1,301,608 650,804 325,402 162,701 488,104 244,052 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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