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Atlas › Integer Profiles › Node 7,632,090

7,632,090

2 × 33 × 5 × 23 × 1229
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 23 × 1229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,254,400
Proper Divisor Sum 13,622,310
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7632089 ← → #7632143

Radix Representation

Decimal 7632090
Binary 11101000111010011011010 (23 bits)
Octal 0o35072332
Hexadecimal 0x7474DA

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1,035 1,229 1,242 2,070 2,458 3,105 3,687 6,145 6,210 7,374 11,061 12,290 18,435 22,122 28,267 33,183 36,870 55,305 56,534 66,366 84,801 110,610 141,335 165,915 169,602 254,403 282,670 331,830 424,005 508,806 763,209 848,010 1,272,015

Collatz Trajectory (129 steps to reach 1)

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

7,632,090 3,816,045 11,448,136 5,724,068 2,862,034 1,431,017 4,293,052 2,146,526 1,073,263 3,219,790 1,609,895 4,829,686 2,414,843 7,244,530 3,622,265 10,866,796 5,433,398 2,716,699 8,150,098 4,075,049 12,225,148 6,112,574 3,056,287 9,168,862 4,584,431 13,753,294 6,876,647 20,629,942 10,314,971 30,944,914 15,472,457 46,417,372 23,208,686 11,604,343 34,813,030 17,406,515 52,219,546 26,109,773 78,329,320 39,164,660 19,582,330 9,791,165 29,373,496 14,686,748 7,343,374 3,671,687 11,015,062 5,507,531 16,522,594 8,261,297 24,783,892 12,391,946 6,195,973 18,587,920 9,293,960 4,646,980 2,323,490 1,161,745 3,485,236 1,742,618

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