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Atlas › Integer Profiles › Node 5,483,696

5,483,696

24 × 37 × 59 × 157
Abundant Even Composite

5,483,696 factors as 2^4 × 37 × 59 × 157. Its 40 positive divisors give a proper-divisor sum of 5,683,744, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 59 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,167,440
Proper Divisor Sum 5,683,744
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5483693 ← → #5483711

Radix Representation

Decimal 5483696
Binary 10100111010110010110000 (23 bits)
Octal 0o24726260
Hexadecimal 0x53ACB0

Divisor Catalog (40)

1 2 4 8 16 37 59 74 118 148 157 236 296 314 472 592 628 944 1,256 2,183 2,512 4,366 5,809 8,732 9,263 11,618 17,464 18,526 23,236 34,928 37,052 46,472 74,104 92,944 148,208 342,731 685,462 1,370,924 2,741,848 5,483,696

Collatz Trajectory (201 steps to reach 1)

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

5,483,696 2,741,848 1,370,924 685,462 342,731 1,028,194 514,097 1,542,292 771,146 385,573 1,156,720 578,360 289,180 144,590 72,295 216,886 108,443 325,330 162,665 487,996 243,998 121,999 365,998 182,999 548,998 274,499 823,498 411,749 1,235,248 617,624 308,812 154,406 77,203 231,610 115,805 347,416 173,708 86,854 43,427 130,282 65,141 195,424 97,712 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798

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