λ
Ratio Atlas

61,382,122

2 × 19 × 139 × 11621
Deficient Even Composite

61,382,122 factors as 2 × 19 × 139 × 11621. Its 16 positive divisors give a proper-divisor sum of 36,242,678, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 19 × 139 × 11621
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 97,624,800
Proper Divisor Sum 36,242,678
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #61382099 ← → #61382159

Radix Representation

Decimal 61382122
Binary 11101010001001110111101010 (26 bits)
Octal 0o352116752
Hexadecimal 0x3A89DEA

Divisor Catalog (16)

Collatz Trajectory (212 steps to reach 1)

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

61,382,122 30,691,061 92,073,184 46,036,592 23,018,296 11,509,148 5,754,574 2,877,287 8,631,862 4,315,931 12,947,794 6,473,897 19,421,692 9,710,846 4,855,423 14,566,270 7,283,135 21,849,406 10,924,703 32,774,110 16,387,055 49,161,166 24,580,583 73,741,750 36,870,875 110,612,626 55,306,313 165,918,940 82,959,470 41,479,735 124,439,206 62,219,603 186,658,810 93,329,405 279,988,216 139,994,108 69,997,054 34,998,527 104,995,582 52,497,791 157,493,374 78,746,687 236,240,062 118,120,031 354,360,094 177,180,047 531,540,142 265,770,071 797,310,214 398,655,107 1,195,965,322 597,982,661 1,793,947,984 896,973,992 448,486,996 224,243,498 112,121,749 336,365,248 168,182,624 84,091,312

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