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Atlas › Integer Profiles › Node 5,829,005

5,829,005

5 × 7 × 13 × 23 × 557
Deficient Odd Composite

5,829,005 factors as 5 × 7 × 13 × 23 × 557. Its 32 positive divisors give a proper-divisor sum of 3,170,419, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 23 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,999,424
Proper Divisor Sum 3,170,419
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5829001 ← → #5829041

Radix Representation

Decimal 5829005
Binary 10110001111000110001101 (23 bits)
Octal 0o26170615
Hexadecimal 0x58F18D

Divisor Catalog (32)

1 5 7 13 23 35 65 91 115 161 299 455 557 805 1,495 2,093 2,785 3,899 7,241 10,465 12,811 19,495 36,205 50,687 64,055 89,677 166,543 253,435 448,385 832,715 1,165,801 5,829,005

Collatz Trajectory (183 steps to reach 1)

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

5,829,005 17,487,016 8,743,508 4,371,754 2,185,877 6,557,632 3,278,816 1,639,408 819,704 409,852 204,926 102,463 307,390 153,695 461,086 230,543 691,630 345,815 1,037,446 518,723 1,556,170 778,085 2,334,256 1,167,128 583,564 291,782 145,891 437,674 218,837 656,512 328,256 164,128 82,064 41,032 20,516 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028

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