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Atlas › Integer Profiles › Node 2,773,408

2,773,408

25 × 11 × 7879
Abundant Even Composite

2,773,408 factors as 2^5 × 11 × 7879. Its 24 positive divisors give a proper-divisor sum of 3,183,872, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 7879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,957,280
Proper Divisor Sum 3,183,872
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2773403 ← → #2773439

Radix Representation

Decimal 2773408
Binary 1010100101000110100000 (22 bits)
Octal 0o12450640
Hexadecimal 0x2A51A0

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 7,879 15,758 31,516 63,032 86,669 126,064 173,338 252,128 346,676 693,352 1,386,704 2,773,408

Collatz Trajectory (76 steps to reach 1)

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

2,773,408 1,386,704 693,352 346,676 173,338 86,669 260,008 130,004 65,002 32,501 97,504 48,752 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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