λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,444,690

61,444,690

2 × 5 × 61 × 263 × 383
Deficient Even Composite

61,444,690 factors as 2 × 5 × 61 × 263 × 383. Its 32 positive divisors give a proper-divisor sum of 51,690,926, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 263 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,135,616
Proper Divisor Sum 51,690,926
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61444687 ← → #61444693

Radix Representation

Decimal 61444690
Binary 11101010011001001001010010 (26 bits)
Octal 0o352311122
Hexadecimal 0x3A99252

Divisor Catalog (32)

1 2 5 10 61 122 263 305 383 526 610 766 1,315 1,915 2,630 3,830 16,043 23,363 32,086 46,726 80,215 100,729 116,815 160,430 201,458 233,630 503,645 1,007,290 6,144,469 12,288,938 30,722,345 61,444,690

Collatz Trajectory (127 steps to reach 1)

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

61,444,690 30,722,345 92,167,036 46,083,518 23,041,759 69,125,278 34,562,639 103,687,918 51,843,959 155,531,878 77,765,939 233,297,818 116,648,909 349,946,728 174,973,364 87,486,682 43,743,341 131,230,024 65,615,012 32,807,506 16,403,753 49,211,260 24,605,630 12,302,815 36,908,446 18,454,223 55,362,670 27,681,335 83,044,006 41,522,003 124,566,010 62,283,005 186,849,016 93,424,508 46,712,254 23,356,127 70,068,382 35,034,191 105,102,574 52,551,287 157,653,862 78,826,931 236,480,794 118,240,397 354,721,192 177,360,596 88,680,298 44,340,149 133,020,448 66,510,224 33,255,112 16,627,556 8,313,778 4,156,889 12,470,668 6,235,334 3,117,667 9,353,002 4,676,501 14,029,504

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