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Atlas › Integer Profiles › Node 54,535,014

54,535,014

2 × 32 × 17 × 31 × 5749
Abundant Even Composite

54,535,014 factors as 2 × 3^2 × 17 × 31 × 5749. Its 48 positive divisors give a proper-divisor sum of 74,632,986, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 31 × 5749
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,168,000
Proper Divisor Sum 74,632,986
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #54535007 ← → #54535027

Radix Representation

Decimal 54535014
Binary 11010000000010001101100110 (26 bits)
Octal 0o320021546
Hexadecimal 0x3402366

Divisor Catalog (48)

1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1,054 1,581 3,162 4,743 5,749 9,486 11,498 17,247 34,494 51,741 97,733 103,482 178,219 195,466 293,199 356,438 534,657 586,398 879,597 1,069,314 1,603,971 1,759,194 3,029,723 3,207,942 6,059,446 9,089,169 18,178,338 27,267,507 54,535,014

Collatz Trajectory (137 steps to reach 1)

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

54,535,014 27,267,507 81,802,522 40,901,261 122,703,784 61,351,892 30,675,946 15,337,973 46,013,920 23,006,960 11,503,480 5,751,740 2,875,870 1,437,935 4,313,806 2,156,903 6,470,710 3,235,355 9,706,066 4,853,033 14,559,100 7,279,550 3,639,775 10,919,326 5,459,663 16,378,990 8,189,495 24,568,486 12,284,243 36,852,730 18,426,365 55,279,096 27,639,548 13,819,774 6,909,887 20,729,662 10,364,831 31,094,494 15,547,247 46,641,742 23,320,871 69,962,614 34,981,307 104,943,922 52,471,961 157,415,884 78,707,942 39,353,971 118,061,914 59,030,957 177,092,872 88,546,436 44,273,218 22,136,609 66,409,828 33,204,914 16,602,457 49,807,372 24,903,686 12,451,843

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