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Atlas › Integer Profiles › Node 29,257,592

29,257,592

23 × 7 × 13 × 40189
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 40189
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,519,200
Proper Divisor Sum 38,261,608
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #29257589 ← → #29257601

Radix Representation

Decimal 29257592
Binary 1101111100110111101111000 (25 bits)
Octal 0o157467570
Hexadecimal 0x1BE6F78

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 40,189 80,378 160,756 281,323 321,512 522,457 562,646 1,044,914 1,125,292 2,089,828 2,250,584 3,657,199 4,179,656 7,314,398 14,628,796 29,257,592

Collatz Trajectory (374 steps to reach 1)

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

29,257,592 14,628,796 7,314,398 3,657,199 10,971,598 5,485,799 16,457,398 8,228,699 24,686,098 12,343,049 37,029,148 18,514,574 9,257,287 27,771,862 13,885,931 41,657,794 20,828,897 62,486,692 31,243,346 15,621,673 46,865,020 23,432,510 11,716,255 35,148,766 17,574,383 52,723,150 26,361,575 79,084,726 39,542,363 118,627,090 59,313,545 177,940,636 88,970,318 44,485,159 133,455,478 66,727,739 200,183,218 100,091,609 300,274,828 150,137,414 75,068,707 225,206,122 112,603,061 337,809,184 168,904,592 84,452,296 42,226,148 21,113,074 10,556,537 31,669,612 15,834,806 7,917,403 23,752,210 11,876,105 35,628,316 17,814,158 8,907,079 26,721,238 13,360,619 40,081,858

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