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Atlas › Integer Profiles › Node 5,457,699

5,457,699

34 × 13 × 71 × 73
Deficient Odd Composite

5,457,699 factors as 3^4 × 13 × 71 × 73. Its 40 positive divisors give a proper-divisor sum of 3,567,933, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 71 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,025,632
Proper Divisor Sum 3,567,933
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5457691 ← → #5457701

Radix Representation

Decimal 5457699
Binary 10100110100011100100011 (23 bits)
Octal 0o24643443
Hexadecimal 0x534723

Divisor Catalog (40)

1 3 9 13 27 39 71 73 81 117 213 219 351 639 657 923 949 1,053 1,917 1,971 2,769 2,847 5,183 5,751 5,913 8,307 8,541 15,549 24,921 25,623 46,647 67,379 74,763 76,869 139,941 202,137 419,823 606,411 1,819,233 5,457,699

Collatz Trajectory (201 steps to reach 1)

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

5,457,699 16,373,098 8,186,549 24,559,648 12,279,824 6,139,912 3,069,956 1,534,978 767,489 2,302,468 1,151,234 575,617 1,726,852 863,426 431,713 1,295,140 647,570 323,785 971,356 485,678 242,839 728,518 364,259 1,092,778 546,389 1,639,168 819,584 409,792 204,896 102,448 51,224 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777

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