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Atlas › Integer Profiles › Node 36,048,848

36,048,848

24 × 11 × 239 × 857
Abundant Even Composite

36,048,848 factors as 2^4 × 11 × 239 × 857. Its 40 positive divisors give a proper-divisor sum of 40,553,392, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 239 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 76,602,240
Proper Divisor Sum 40,553,392
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36048847 ← → #36048853

Radix Representation

Decimal 36048848
Binary 10001001100000111111010000 (26 bits)
Octal 0o211407720
Hexadecimal 0x2260FD0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 239 478 857 956 1,714 1,912 2,629 3,428 3,824 5,258 6,856 9,427 10,516 13,712 18,854 21,032 37,708 42,064 75,416 150,832 204,823 409,646 819,292 1,638,584 2,253,053 3,277,168 4,506,106 9,012,212 18,024,424 36,048,848

Collatz Trajectory (201 steps to reach 1)

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

36,048,848 18,024,424 9,012,212 4,506,106 2,253,053 6,759,160 3,379,580 1,689,790 844,895 2,534,686 1,267,343 3,802,030 1,901,015 5,703,046 2,851,523 8,554,570 4,277,285 12,831,856 6,415,928 3,207,964 1,603,982 801,991 2,405,974 1,202,987 3,608,962 1,804,481 5,413,444 2,706,722 1,353,361 4,060,084 2,030,042 1,015,021 3,045,064 1,522,532 761,266 380,633 1,141,900 570,950 285,475 856,426 428,213 1,284,640 642,320 321,160 160,580 80,290 40,145 120,436 60,218 30,109 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110

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