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Atlas › Integer Profiles › Node 5,458,698

5,458,698

2 × 33 × 72 × 2063
Abundant Even Composite

5,458,698 factors as 2 × 3^3 × 7^2 × 2063. Its 48 positive divisors give a proper-divisor sum of 8,659,062, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,117,760
Proper Divisor Sum 8,659,062
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5458679 ← → #5458723

Radix Representation

Decimal 5458698
Binary 10100110100101100001010 (23 bits)
Octal 0o24645412
Hexadecimal 0x534B0A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1,323 2,063 2,646 4,126 6,189 12,378 14,441 18,567 28,882 37,134 43,323 55,701 86,646 101,087 111,402 129,969 202,174 259,938 303,261 389,907 606,522 779,814 909,783 1,819,566 2,729,349 5,458,698

Collatz Trajectory (113 steps to reach 1)

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

5,458,698 2,729,349 8,188,048 4,094,024 2,047,012 1,023,506 511,753 1,535,260 767,630 383,815 1,151,446 575,723 1,727,170 863,585 2,590,756 1,295,378 647,689 1,943,068 971,534 485,767 1,457,302 728,651 2,185,954 1,092,977 3,278,932 1,639,466 819,733 2,459,200 1,229,600 614,800 307,400 153,700 76,850 38,425 115,276 57,638 28,819 86,458 43,229 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627

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