λ
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Atlas › Integer Profiles › Node 61,325,850

61,325,850

2 × 3 × 52 × 389 × 1051
Abundant Even Composite

61,325,850 factors as 2 × 3 × 5^2 × 389 × 1051. Its 48 positive divisors give a proper-divisor sum of 91,298,310, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 389 × 1051
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 152,624,160
Proper Divisor Sum 91,298,310
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61325821 ← → #61325897

Radix Representation

Decimal 61325850
Binary 11101001111100001000011010 (26 bits)
Octal 0o351741032
Hexadecimal 0x3A7C21A

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 150 389 778 1,051 1,167 1,945 2,102 2,334 3,153 3,890 5,255 5,835 6,306 9,725 10,510 11,670 15,765 19,450 26,275 29,175 31,530 52,550 58,350 78,825 157,650 408,839 817,678 1,226,517 2,044,195 2,453,034 4,088,390 6,132,585 10,220,975 12,265,170 20,441,950 30,662,925 61,325,850

Collatz Trajectory (251 steps to reach 1)

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

61,325,850 30,662,925 91,988,776 45,994,388 22,997,194 11,498,597 34,495,792 17,247,896 8,623,948 4,311,974 2,155,987 6,467,962 3,233,981 9,701,944 4,850,972 2,425,486 1,212,743 3,638,230 1,819,115 5,457,346 2,728,673 8,186,020 4,093,010 2,046,505 6,139,516 3,069,758 1,534,879 4,604,638 2,302,319 6,906,958 3,453,479 10,360,438 5,180,219 15,540,658 7,770,329 23,310,988 11,655,494 5,827,747 17,483,242 8,741,621 26,224,864 13,112,432 6,556,216 3,278,108 1,639,054 819,527 2,458,582 1,229,291 3,687,874 1,843,937 5,531,812 2,765,906 1,382,953 4,148,860 2,074,430 1,037,215 3,111,646 1,555,823 4,667,470 2,333,735

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