λ
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Atlas › Integer Profiles › Node 13,020,572

13,020,572

22 × 17 × 43 × 61 × 73
Deficient Even Composite

13,020,572 factors as 2^2 × 17 × 43 × 61 × 73. Its 48 positive divisors give a proper-divisor sum of 12,415,300, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 43 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,435,872
Proper Divisor Sum 12,415,300
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #13020541 ← → #13020577

Radix Representation

Decimal 13020572
Binary 110001101010110110011100 (24 bits)
Octal 0o61526634
Hexadecimal 0xC6AD9C

Divisor Catalog (48)

1 2 4 17 34 43 61 68 73 86 122 146 172 244 292 731 1,037 1,241 1,462 2,074 2,482 2,623 2,924 3,139 4,148 4,453 4,964 5,246 6,278 8,906 10,492 12,556 17,812 44,591 53,363 75,701 89,182 106,726 151,402 178,364 191,479 213,452 302,804 382,958 765,916 3,255,143 6,510,286 13,020,572

Collatz Trajectory (223 steps to reach 1)

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

13,020,572 6,510,286 3,255,143 9,765,430 4,882,715 14,648,146 7,324,073 21,972,220 10,986,110 5,493,055 16,479,166 8,239,583 24,718,750 12,359,375 37,078,126 18,539,063 55,617,190 27,808,595 83,425,786 41,712,893 125,138,680 62,569,340 31,284,670 15,642,335 46,927,006 23,463,503 70,390,510 35,195,255 105,585,766 52,792,883 158,378,650 79,189,325 237,567,976 118,783,988 59,391,994 29,695,997 89,087,992 44,543,996 22,271,998 11,135,999 33,407,998 16,703,999 50,111,998 25,055,999 75,167,998 37,583,999 112,751,998 56,375,999 169,127,998 84,563,999 253,691,998 126,845,999 380,537,998 190,268,999 570,806,998 285,403,499 856,210,498 428,105,249 1,284,315,748 642,157,874

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