λ
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Atlas › Integer Profiles › Node 5,113,955

5,113,955

5 × 7 × 11 × 37 × 359
Deficient Odd Composite

5,113,955 factors as 5 × 7 × 11 × 37 × 359. Its 32 positive divisors give a proper-divisor sum of 2,765,725, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 37 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,879,680
Proper Divisor Sum 2,765,725
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5113939 ← → #5113963

Radix Representation

Decimal 5113955
Binary 10011100000100001100011 (23 bits)
Octal 0o23404143
Hexadecimal 0x4E0863

Divisor Catalog (32)

1 5 7 11 35 37 55 77 185 259 359 385 407 1,295 1,795 2,035 2,513 2,849 3,949 12,565 13,283 14,245 19,745 27,643 66,415 92,981 138,215 146,113 464,905 730,565 1,022,791 5,113,955

Collatz Trajectory (175 steps to reach 1)

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

5,113,955 15,341,866 7,670,933 23,012,800 11,506,400 5,753,200 2,876,600 1,438,300 719,150 359,575 1,078,726 539,363 1,618,090 809,045 2,427,136 1,213,568 606,784 303,392 151,696 75,848 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452

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